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Finding the Third Proportional to 547,897 and 802,891

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Solution

The third proportional to 547,897 and 802,891 is: 1,176,560.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,897 : 802,891 = 802,891 : x
  2. Step 2: Convert to fraction form
    547,897/802,891 = 802,891/x
  3. Step 3: Cross multiply
    547,897x = 802,891 × 802,891
  4. Step 4: Simplify right side
    547,897x = 644,633,957,881
  5. Step 5: Solve for x
    x = 644,633,957,881/547,897
  6. Step 6: Final answer
    x = 1,176,560.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.