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Finding the Third Proportional to 729,377.16 and 1,070,401.08

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Solution

The third proportional to 729,377.16 and 1,070,401.08 is: 1,570,872.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,377.16 : 1,070,401.08 = 1,070,401.08 : x
  2. Step 2: Convert to fraction form
    729,377.16/1,070,401.08 = 1,070,401.08/x
  3. Step 3: Cross multiply
    729,377.16x = 1,070,401.08 × 1,070,401.08
  4. Step 4: Simplify right side
    729,377.16x = 1,145,758,468,051.16
  5. Step 5: Solve for x
    x = 1,145,758,468,051.16/729,377.16
  6. Step 6: Final answer
    x = 1,570,872.43

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.