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Finding the Third Proportional to 516,462 and 1,107,634

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Solution

The third proportional to 516,462 and 1,107,634 is: 2,375,495.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,462 : 1,107,634 = 1,107,634 : x
  2. Step 2: Convert to fraction form
    516,462/1,107,634 = 1,107,634/x
  3. Step 3: Cross multiply
    516,462x = 1,107,634 × 1,107,634
  4. Step 4: Simplify right side
    516,462x = 1,226,853,077,956
  5. Step 5: Solve for x
    x = 1,226,853,077,956/516,462
  6. Step 6: Final answer
    x = 2,375,495.35

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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.