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Finding the Third Proportional to 658,900 and 1,443,872

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Solution

The third proportional to 658,900 and 1,443,872 is: 3,164,010.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,900 : 1,443,872 = 1,443,872 : x
  2. Step 2: Convert to fraction form
    658,900/1,443,872 = 1,443,872/x
  3. Step 3: Cross multiply
    658,900x = 1,443,872 × 1,443,872
  4. Step 4: Simplify right side
    658,900x = 2,084,766,352,384
  5. Step 5: Solve for x
    x = 2,084,766,352,384/658,900
  6. Step 6: Final answer
    x = 3,164,010.25

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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.