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Finding the Third Proportional to 516,460 and 1,107,630

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Solution

The third proportional to 516,460 and 1,107,630 is: 2,375,487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,460 : 1,107,630 = 1,107,630 : x
  2. Step 2: Convert to fraction form
    516,460/1,107,630 = 1,107,630/x
  3. Step 3: Cross multiply
    516,460x = 1,107,630 × 1,107,630
  4. Step 4: Simplify right side
    516,460x = 1,226,844,216,900
  5. Step 5: Solve for x
    x = 1,226,844,216,900/516,460
  6. Step 6: Final answer
    x = 2,375,487.39

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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.