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Finding the Third Proportional to 486,396,849 and 752,860,581

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Solution

The third proportional to 486,396,849 and 752,860,581 is: 1,165,301,657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,396,849 : 752,860,581 = 752,860,581 : x
  2. Step 2: Convert to fraction form
    486,396,849/752,860,581 = 752,860,581/x
  3. Step 3: Cross multiply
    486,396,849x = 752,860,581 × 752,860,581
  4. Step 4: Simplify right side
    486,396,849x = 566,799,054,423,657,536
  5. Step 5: Solve for x
    x = 566,799,054,423,657,536/486,396,849
  6. Step 6: Final answer
    x = 1,165,301,657.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.