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Finding the Third Proportional to 687,424 and 1,514,432

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Solution

The third proportional to 687,424 and 1,514,432 is: 3,336,375.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,424 : 1,514,432 = 1,514,432 : x
  2. Step 2: Convert to fraction form
    687,424/1,514,432 = 1,514,432/x
  3. Step 3: Cross multiply
    687,424x = 1,514,432 × 1,514,432
  4. Step 4: Simplify right side
    687,424x = 2,293,504,282,624
  5. Step 5: Solve for x
    x = 2,293,504,282,624/687,424
  6. Step 6: Final answer
    x = 3,336,375.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.