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Finding the Third Proportional to 408,554 and 897,730

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Solution

The third proportional to 408,554 and 897,730 is: 1,972,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,554 : 897,730 = 897,730 : x
  2. Step 2: Convert to fraction form
    408,554/897,730 = 897,730/x
  3. Step 3: Cross multiply
    408,554x = 897,730 × 897,730
  4. Step 4: Simplify right side
    408,554x = 805,919,152,900
  5. Step 5: Solve for x
    x = 805,919,152,900/408,554
  6. Step 6: Final answer
    x = 1,972,613.54

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.