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Finding the Third Proportional to 584,827 and 881,561

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Solution

The third proportional to 584,827 and 881,561 is: 1,328,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,827 : 881,561 = 881,561 : x
  2. Step 2: Convert to fraction form
    584,827/881,561 = 881,561/x
  3. Step 3: Cross multiply
    584,827x = 881,561 × 881,561
  4. Step 4: Simplify right side
    584,827x = 777,149,796,721
  5. Step 5: Solve for x
    x = 777,149,796,721/584,827
  6. Step 6: Final answer
    x = 1,328,854.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.