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Finding the Third Proportional to 869,016 and 1,272,413

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Solution

The third proportional to 869,016 and 1,272,413 is: 1,863,066.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,016 : 1,272,413 = 1,272,413 : x
  2. Step 2: Convert to fraction form
    869,016/1,272,413 = 1,272,413/x
  3. Step 3: Cross multiply
    869,016x = 1,272,413 × 1,272,413
  4. Step 4: Simplify right side
    869,016x = 1,619,034,842,569
  5. Step 5: Solve for x
    x = 1,619,034,842,569/869,016
  6. Step 6: Final answer
    x = 1,863,066.78

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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.