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Finding the Third Proportional to 415,560 and 894,680

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Solution

The third proportional to 415,560 and 894,680 is: 1,926,201.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,560 : 894,680 = 894,680 : x
  2. Step 2: Convert to fraction form
    415,560/894,680 = 894,680/x
  3. Step 3: Cross multiply
    415,560x = 894,680 × 894,680
  4. Step 4: Simplify right side
    415,560x = 800,452,302,400
  5. Step 5: Solve for x
    x = 800,452,302,400/415,560
  6. Step 6: Final answer
    x = 1,926,201.52

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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.