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Finding the Third Proportional to 727,672,540 and 1,119,614,154

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Solution

The third proportional to 727,672,540 and 1,119,614,154 is: 1,722,664,776.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,672,540 : 1,119,614,154 = 1,119,614,154 : x
  2. Step 2: Convert to fraction form
    727,672,540/1,119,614,154 = 1,119,614,154/x
  3. Step 3: Cross multiply
    727,672,540x = 1,119,614,154 × 1,119,614,154
  4. Step 4: Simplify right side
    727,672,540x = 1,253,535,853,837,135,616
  5. Step 5: Solve for x
    x = 1,253,535,853,837,135,616/727,672,540
  6. Step 6: Final answer
    x = 1,722,664,776.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.