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Finding the Third Proportional to 467,937 and 1,031,202

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Solution

The third proportional to 467,937 and 1,031,202 is: 2,272,480.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,937 : 1,031,202 = 1,031,202 : x
  2. Step 2: Convert to fraction form
    467,937/1,031,202 = 1,031,202/x
  3. Step 3: Cross multiply
    467,937x = 1,031,202 × 1,031,202
  4. Step 4: Simplify right side
    467,937x = 1,063,377,564,804
  5. Step 5: Solve for x
    x = 1,063,377,564,804/467,937
  6. Step 6: Final answer
    x = 2,272,480.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.