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Finding the Third Proportional to 698,514 and 1,488,612

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Solution

The third proportional to 698,514 and 1,488,612 is: 3,172,399.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,514 : 1,488,612 = 1,488,612 : x
  2. Step 2: Convert to fraction form
    698,514/1,488,612 = 1,488,612/x
  3. Step 3: Cross multiply
    698,514x = 1,488,612 × 1,488,612
  4. Step 4: Simplify right side
    698,514x = 2,215,965,686,544
  5. Step 5: Solve for x
    x = 2,215,965,686,544/698,514
  6. Step 6: Final answer
    x = 3,172,399.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.