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Finding the Third Proportional to 411,239 and 951,959

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Solution

The third proportional to 411,239 and 951,959 is: 2,203,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,239 : 951,959 = 951,959 : x
  2. Step 2: Convert to fraction form
    411,239/951,959 = 951,959/x
  3. Step 3: Cross multiply
    411,239x = 951,959 × 951,959
  4. Step 4: Simplify right side
    411,239x = 906,225,937,681
  5. Step 5: Solve for x
    x = 906,225,937,681/411,239
  6. Step 6: Final answer
    x = 2,203,647.85

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.