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Finding the Third Proportional to 566,514 and 1,225,962

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Solution

The third proportional to 566,514 and 1,225,962 is: 2,653,037.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,514 : 1,225,962 = 1,225,962 : x
  2. Step 2: Convert to fraction form
    566,514/1,225,962 = 1,225,962/x
  3. Step 3: Cross multiply
    566,514x = 1,225,962 × 1,225,962
  4. Step 4: Simplify right side
    566,514x = 1,502,982,825,444
  5. Step 5: Solve for x
    x = 1,502,982,825,444/566,514
  6. Step 6: Final answer
    x = 2,653,037.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.