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Finding the Third Proportional to 819,514 and 1,240,698

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Solution

The third proportional to 819,514 and 1,240,698 is: 1,878,346.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,514 : 1,240,698 = 1,240,698 : x
  2. Step 2: Convert to fraction form
    819,514/1,240,698 = 1,240,698/x
  3. Step 3: Cross multiply
    819,514x = 1,240,698 × 1,240,698
  4. Step 4: Simplify right side
    819,514x = 1,539,331,527,204
  5. Step 5: Solve for x
    x = 1,539,331,527,204/819,514
  6. Step 6: Final answer
    x = 1,878,346.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.