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Finding the Third Proportional to 516,513 and 1,124,514

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Solution

The third proportional to 516,513 and 1,124,514 is: 2,448,208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,513 : 1,124,514 = 1,124,514 : x
  2. Step 2: Convert to fraction form
    516,513/1,124,514 = 1,124,514/x
  3. Step 3: Cross multiply
    516,513x = 1,124,514 × 1,124,514
  4. Step 4: Simplify right side
    516,513x = 1,264,531,736,196
  5. Step 5: Solve for x
    x = 1,264,531,736,196/516,513
  6. Step 6: Final answer
    x = 2,448,208.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.