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Finding the Third Proportional to 400,088 and 868,864

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Solution

The third proportional to 400,088 and 868,864 is: 1,886,896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,088 : 868,864 = 868,864 : x
  2. Step 2: Convert to fraction form
    400,088/868,864 = 868,864/x
  3. Step 3: Cross multiply
    400,088x = 868,864 × 868,864
  4. Step 4: Simplify right side
    400,088x = 754,924,650,496
  5. Step 5: Solve for x
    x = 754,924,650,496/400,088
  6. Step 6: Final answer
    x = 1,886,896.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.