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Finding the Third Proportional to 292,471,443 and 642,329,739

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Solution

The third proportional to 292,471,443 and 642,329,739 is: 1,410,693,260.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,471,443 : 642,329,739 = 642,329,739 : x
  2. Step 2: Convert to fraction form
    292,471,443/642,329,739 = 642,329,739/x
  3. Step 3: Cross multiply
    292,471,443x = 642,329,739 × 642,329,739
  4. Step 4: Simplify right side
    292,471,443x = 412,587,493,603,808,128
  5. Step 5: Solve for x
    x = 412,587,493,603,808,128/292,471,443
  6. Step 6: Final answer
    x = 1,410,693,260.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.