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Finding the Third Proportional to 415,680 and 897,780

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Solution

The third proportional to 415,680 and 897,780 is: 1,939,013.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,680 : 897,780 = 897,780 : x
  2. Step 2: Convert to fraction form
    415,680/897,780 = 897,780/x
  3. Step 3: Cross multiply
    415,680x = 897,780 × 897,780
  4. Step 4: Simplify right side
    415,680x = 806,008,928,400
  5. Step 5: Solve for x
    x = 806,008,928,400/415,680
  6. Step 6: Final answer
    x = 1,939,013.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.