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Finding the Third Proportional to 487,660 and 1,042,924

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Solution

The third proportional to 487,660 and 1,042,924 is: 2,230,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,660 : 1,042,924 = 1,042,924 : x
  2. Step 2: Convert to fraction form
    487,660/1,042,924 = 1,042,924/x
  3. Step 3: Cross multiply
    487,660x = 1,042,924 × 1,042,924
  4. Step 4: Simplify right side
    487,660x = 1,087,690,469,776
  5. Step 5: Solve for x
    x = 1,087,690,469,776/487,660
  6. Step 6: Final answer
    x = 2,230,427.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.