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Finding the Third Proportional to 825,957 and 1,745,226

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Solution

The third proportional to 825,957 and 1,745,226 is: 3,687,617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,957 : 1,745,226 = 1,745,226 : x
  2. Step 2: Convert to fraction form
    825,957/1,745,226 = 1,745,226/x
  3. Step 3: Cross multiply
    825,957x = 1,745,226 × 1,745,226
  4. Step 4: Simplify right side
    825,957x = 3,045,813,791,076
  5. Step 5: Solve for x
    x = 3,045,813,791,076/825,957
  6. Step 6: Final answer
    x = 3,687,617.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.