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Finding the Third Proportional to 402,626.56 and 876,094.97

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Solution

The third proportional to 402,626.56 and 876,094.97 is: 1,906,338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,626.56 : 876,094.97 = 876,094.97 : x
  2. Step 2: Convert to fraction form
    402,626.56/876,094.97 = 876,094.97/x
  3. Step 3: Cross multiply
    402,626.56x = 876,094.97 × 876,094.97
  4. Step 4: Simplify right side
    402,626.56x = 767,542,399,402.42
  5. Step 5: Solve for x
    x = 767,542,399,402.42/402,626.56
  6. Step 6: Final answer
    x = 1,906,338.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.