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Finding the Third Proportional to 498,189 and 1,031,811

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Solution

The third proportional to 498,189 and 1,031,811 is: 2,137,008.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,189 : 1,031,811 = 1,031,811 : x
  2. Step 2: Convert to fraction form
    498,189/1,031,811 = 1,031,811/x
  3. Step 3: Cross multiply
    498,189x = 1,031,811 × 1,031,811
  4. Step 4: Simplify right side
    498,189x = 1,064,633,939,721
  5. Step 5: Solve for x
    x = 1,064,633,939,721/498,189
  6. Step 6: Final answer
    x = 2,137,008.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.