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Finding the Third Proportional to 415,947.66 and 894,943.69

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Solution

The third proportional to 415,947.66 and 894,943.69 is: 1,925,540.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,947.66 : 894,943.69 = 894,943.69 : x
  2. Step 2: Convert to fraction form
    415,947.66/894,943.69 = 894,943.69/x
  3. Step 3: Cross multiply
    415,947.66x = 894,943.69 × 894,943.69
  4. Step 4: Simplify right side
    415,947.66x = 800,924,203,796.10
  5. Step 5: Solve for x
    x = 800,924,203,796.10/415,947.66
  6. Step 6: Final answer
    x = 1,925,540.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.