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Finding the Third Proportional to 544,092 and 857,872

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Solution

The third proportional to 544,092 and 857,872 is: 1,352,610.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,092 : 857,872 = 857,872 : x
  2. Step 2: Convert to fraction form
    544,092/857,872 = 857,872/x
  3. Step 3: Cross multiply
    544,092x = 857,872 × 857,872
  4. Step 4: Simplify right side
    544,092x = 735,944,368,384
  5. Step 5: Solve for x
    x = 735,944,368,384/544,092
  6. Step 6: Final answer
    x = 1,352,610.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.