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Finding the Third Proportional to 869,414 and 1,867,366

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Solution

The third proportional to 869,414 and 1,867,366 is: 4,010,811.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,414 : 1,867,366 = 1,867,366 : x
  2. Step 2: Convert to fraction form
    869,414/1,867,366 = 1,867,366/x
  3. Step 3: Cross multiply
    869,414x = 1,867,366 × 1,867,366
  4. Step 4: Simplify right side
    869,414x = 3,487,055,777,956
  5. Step 5: Solve for x
    x = 3,487,055,777,956/869,414
  6. Step 6: Final answer
    x = 4,010,811.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.