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Finding the Third Proportional to 860,692,120,698 and 1,883,520,513,224

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Solution

The third proportional to 860,692,120,698 and 1,883,520,513,224 is: 4,121,856,629,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,692,120,698 : 1,883,520,513,224 = 1,883,520,513,224 : x
  2. Step 2: Convert to fraction form
    860,692,120,698/1,883,520,513,224 = 1,883,520,513,224/x
  3. Step 3: Cross multiply
    860,692,120,698x = 1,883,520,513,224 × 1,883,520,513,224
  4. Step 4: Simplify right side
    860,692,120,698x = 3,547,649,523,735,600,375,529,472
  5. Step 5: Solve for x
    x = 3,547,649,523,735,600,375,529,472/860,692,120,698
  6. Step 6: Final answer
    x = 4,121,856,629,590.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.