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Finding the Third Proportional to 668,086.50 and 1,559,157

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Solution

The third proportional to 668,086.50 and 1,559,157 is: 3,638,706.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,086.50 : 1,559,157 = 1,559,157 : x
  2. Step 2: Convert to fraction form
    668,086.50/1,559,157 = 1,559,157/x
  3. Step 3: Cross multiply
    668,086.50x = 1,559,157 × 1,559,157
  4. Step 4: Simplify right side
    668,086.50x = 2,430,970,550,649
  5. Step 5: Solve for x
    x = 2,430,970,550,649/668,086.50
  6. Step 6: Final answer
    x = 3,638,706.29

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.