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Finding the Third Proportional to 411,264 and 951,988

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Solution

The third proportional to 411,264 and 951,988 is: 2,203,648.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,264 : 951,988 = 951,988 : x
  2. Step 2: Convert to fraction form
    411,264/951,988 = 951,988/x
  3. Step 3: Cross multiply
    411,264x = 951,988 × 951,988
  4. Step 4: Simplify right side
    411,264x = 906,281,152,144
  5. Step 5: Solve for x
    x = 906,281,152,144/411,264
  6. Step 6: Final answer
    x = 2,203,648.15

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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.