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Finding the Third Proportional to 672,901 and 1,471,189

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Solution

The third proportional to 672,901 and 1,471,189 is: 3,216,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,901 : 1,471,189 = 1,471,189 : x
  2. Step 2: Convert to fraction form
    672,901/1,471,189 = 1,471,189/x
  3. Step 3: Cross multiply
    672,901x = 1,471,189 × 1,471,189
  4. Step 4: Simplify right side
    672,901x = 2,164,397,073,721
  5. Step 5: Solve for x
    x = 2,164,397,073,721/672,901
  6. Step 6: Final answer
    x = 3,216,516.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.