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Finding the Third Proportional to 516,337 and 1,118,452

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Solution

The third proportional to 516,337 and 1,118,452 is: 2,422,710.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,337 : 1,118,452 = 1,118,452 : x
  2. Step 2: Convert to fraction form
    516,337/1,118,452 = 1,118,452/x
  3. Step 3: Cross multiply
    516,337x = 1,118,452 × 1,118,452
  4. Step 4: Simplify right side
    516,337x = 1,250,934,876,304
  5. Step 5: Solve for x
    x = 1,250,934,876,304/516,337
  6. Step 6: Final answer
    x = 2,422,710.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.