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Finding the Third Proportional to 645,808 and 1,407,872

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Solution

The third proportional to 645,808 and 1,407,872 is: 3,069,183.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,808 : 1,407,872 = 1,407,872 : x
  2. Step 2: Convert to fraction form
    645,808/1,407,872 = 1,407,872/x
  3. Step 3: Cross multiply
    645,808x = 1,407,872 × 1,407,872
  4. Step 4: Simplify right side
    645,808x = 1,982,103,568,384
  5. Step 5: Solve for x
    x = 1,982,103,568,384/645,808
  6. Step 6: Final answer
    x = 3,069,183.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.