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Finding the Third Proportional to 729,446 and 1,172,011

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Solution

The third proportional to 729,446 and 1,172,011 is: 1,883,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,446 : 1,172,011 = 1,172,011 : x
  2. Step 2: Convert to fraction form
    729,446/1,172,011 = 1,172,011/x
  3. Step 3: Cross multiply
    729,446x = 1,172,011 × 1,172,011
  4. Step 4: Simplify right side
    729,446x = 1,373,609,784,121
  5. Step 5: Solve for x
    x = 1,373,609,784,121/729,446
  6. Step 6: Final answer
    x = 1,883,086.32

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.