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Finding the Third Proportional to 730,414,404 and 1,486,337,894

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Solution

The third proportional to 730,414,404 and 1,486,337,894 is: 3,024,584,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,414,404 : 1,486,337,894 = 1,486,337,894 : x
  2. Step 2: Convert to fraction form
    730,414,404/1,486,337,894 = 1,486,337,894/x
  3. Step 3: Cross multiply
    730,414,404x = 1,486,337,894 × 1,486,337,894
  4. Step 4: Simplify right side
    730,414,404x = 2,209,200,335,140,355,328
  5. Step 5: Solve for x
    x = 2,209,200,335,140,355,328/730,414,404
  6. Step 6: Final answer
    x = 3,024,584,842.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.