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Finding the Third Proportional to 487,406 and 1,068,967

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Solution

The third proportional to 487,406 and 1,068,967 is: 2,344,432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,406 : 1,068,967 = 1,068,967 : x
  2. Step 2: Convert to fraction form
    487,406/1,068,967 = 1,068,967/x
  3. Step 3: Cross multiply
    487,406x = 1,068,967 × 1,068,967
  4. Step 4: Simplify right side
    487,406x = 1,142,690,447,089
  5. Step 5: Solve for x
    x = 1,142,690,447,089/487,406
  6. Step 6: Final answer
    x = 2,344,432.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.