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Finding the Third Proportional to 869,016 and 1,272,414

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Solution

The third proportional to 869,016 and 1,272,414 is: 1,863,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,016 : 1,272,414 = 1,272,414 : x
  2. Step 2: Convert to fraction form
    869,016/1,272,414 = 1,272,414/x
  3. Step 3: Cross multiply
    869,016x = 1,272,414 × 1,272,414
  4. Step 4: Simplify right side
    869,016x = 1,619,037,387,396
  5. Step 5: Solve for x
    x = 1,619,037,387,396/869,016
  6. Step 6: Final answer
    x = 1,863,069.71

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.