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Finding the Third Proportional to 687,174 and 1,027,587

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Solution

The third proportional to 687,174 and 1,027,587 is: 1,536,634.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,174 : 1,027,587 = 1,027,587 : x
  2. Step 2: Convert to fraction form
    687,174/1,027,587 = 1,027,587/x
  3. Step 3: Cross multiply
    687,174x = 1,027,587 × 1,027,587
  4. Step 4: Simplify right side
    687,174x = 1,055,935,042,569
  5. Step 5: Solve for x
    x = 1,055,935,042,569/687,174
  6. Step 6: Final answer
    x = 1,536,634.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.