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Finding the Third Proportional to 513,408 and 1,059,540

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Solution

The third proportional to 513,408 and 1,059,540 is: 2,186,613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,408 : 1,059,540 = 1,059,540 : x
  2. Step 2: Convert to fraction form
    513,408/1,059,540 = 1,059,540/x
  3. Step 3: Cross multiply
    513,408x = 1,059,540 × 1,059,540
  4. Step 4: Simplify right side
    513,408x = 1,122,625,011,600
  5. Step 5: Solve for x
    x = 1,122,625,011,600/513,408
  6. Step 6: Final answer
    x = 2,186,613.79

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.