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Finding the Third Proportional to 580,320,398 and 1,226,140,636

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Solution

The third proportional to 580,320,398 and 1,226,140,636 is: 2,590,673,814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,320,398 : 1,226,140,636 = 1,226,140,636 : x
  2. Step 2: Convert to fraction form
    580,320,398/1,226,140,636 = 1,226,140,636/x
  3. Step 3: Cross multiply
    580,320,398x = 1,226,140,636 × 1,226,140,636
  4. Step 4: Simplify right side
    580,320,398x = 1,503,420,859,250,484,480
  5. Step 5: Solve for x
    x = 1,503,420,859,250,484,480/580,320,398
  6. Step 6: Final answer
    x = 2,590,673,814.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.