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Finding the Third Proportional to 516,464 and 1,132,612

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Solution

The third proportional to 516,464 and 1,132,612 is: 2,483,832.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,464 : 1,132,612 = 1,132,612 : x
  2. Step 2: Convert to fraction form
    516,464/1,132,612 = 1,132,612/x
  3. Step 3: Cross multiply
    516,464x = 1,132,612 × 1,132,612
  4. Step 4: Simplify right side
    516,464x = 1,282,809,942,544
  5. Step 5: Solve for x
    x = 1,282,809,942,544/516,464
  6. Step 6: Final answer
    x = 2,483,832.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.