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Finding the Third Proportional to 800,644 and 1,740,680

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Solution

The third proportional to 800,644 and 1,740,680 is: 3,784,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,644 : 1,740,680 = 1,740,680 : x
  2. Step 2: Convert to fraction form
    800,644/1,740,680 = 1,740,680/x
  3. Step 3: Cross multiply
    800,644x = 1,740,680 × 1,740,680
  4. Step 4: Simplify right side
    800,644x = 3,029,966,862,400
  5. Step 5: Solve for x
    x = 3,029,966,862,400/800,644
  6. Step 6: Final answer
    x = 3,784,412.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.