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Finding the Third Proportional to 516,138.75 and 1,214,514

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Solution

The third proportional to 516,138.75 and 1,214,514 is: 2,857,844.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,138.75 : 1,214,514 = 1,214,514 : x
  2. Step 2: Convert to fraction form
    516,138.75/1,214,514 = 1,214,514/x
  3. Step 3: Cross multiply
    516,138.75x = 1,214,514 × 1,214,514
  4. Step 4: Simplify right side
    516,138.75x = 1,475,044,256,196
  5. Step 5: Solve for x
    x = 1,475,044,256,196/516,138.75
  6. Step 6: Final answer
    x = 2,857,844.44

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.