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Finding the Third Proportional to 474,600 and 1,031,277

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Solution

The third proportional to 474,600 and 1,031,277 is: 2,240,902.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,600 : 1,031,277 = 1,031,277 : x
  2. Step 2: Convert to fraction form
    474,600/1,031,277 = 1,031,277/x
  3. Step 3: Cross multiply
    474,600x = 1,031,277 × 1,031,277
  4. Step 4: Simplify right side
    474,600x = 1,063,532,250,729
  5. Step 5: Solve for x
    x = 1,063,532,250,729/474,600
  6. Step 6: Final answer
    x = 2,240,902.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.