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Finding the Third Proportional to 474,382 and 1,016,561

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Solution

The third proportional to 474,382 and 1,016,561 is: 2,178,405.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,382 : 1,016,561 = 1,016,561 : x
  2. Step 2: Convert to fraction form
    474,382/1,016,561 = 1,016,561/x
  3. Step 3: Cross multiply
    474,382x = 1,016,561 × 1,016,561
  4. Step 4: Simplify right side
    474,382x = 1,033,396,266,721
  5. Step 5: Solve for x
    x = 1,033,396,266,721/474,382
  6. Step 6: Final answer
    x = 2,178,405.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.