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Finding the Third Proportional to 641,502 and 896,859

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Solution

The third proportional to 641,502 and 896,859 is: 1,253,863.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,502 : 896,859 = 896,859 : x
  2. Step 2: Convert to fraction form
    641,502/896,859 = 896,859/x
  3. Step 3: Cross multiply
    641,502x = 896,859 × 896,859
  4. Step 4: Simplify right side
    641,502x = 804,356,065,881
  5. Step 5: Solve for x
    x = 804,356,065,881/641,502
  6. Step 6: Final answer
    x = 1,253,863.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.