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Finding the Third Proportional to 1,442,716 and 2,251,414

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Solution

The third proportional to 1,442,716 and 2,251,414 is: 3,513,418.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442,716 : 2,251,414 = 2,251,414 : x
  2. Step 2: Convert to fraction form
    1,442,716/2,251,414 = 2,251,414/x
  3. Step 3: Cross multiply
    1,442,716x = 2,251,414 × 2,251,414
  4. Step 4: Simplify right side
    1,442,716x = 5,068,864,999,396
  5. Step 5: Solve for x
    x = 5,068,864,999,396/1,442,716
  6. Step 6: Final answer
    x = 3,513,418.44

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.