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Finding the Third Proportional to 413,142 and 886,548

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Solution

The third proportional to 413,142 and 886,548 is: 1,902,414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,142 : 886,548 = 886,548 : x
  2. Step 2: Convert to fraction form
    413,142/886,548 = 886,548/x
  3. Step 3: Cross multiply
    413,142x = 886,548 × 886,548
  4. Step 4: Simplify right side
    413,142x = 785,967,356,304
  5. Step 5: Solve for x
    x = 785,967,356,304/413,142
  6. Step 6: Final answer
    x = 1,902,414.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.