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Finding the Third Proportional to 474,357 and 1,027,446

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Solution

The third proportional to 474,357 and 1,027,446 is: 2,225,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,357 : 1,027,446 = 1,027,446 : x
  2. Step 2: Convert to fraction form
    474,357/1,027,446 = 1,027,446/x
  3. Step 3: Cross multiply
    474,357x = 1,027,446 × 1,027,446
  4. Step 4: Simplify right side
    474,357x = 1,055,645,282,916
  5. Step 5: Solve for x
    x = 1,055,645,282,916/474,357
  6. Step 6: Final answer
    x = 2,225,423.64

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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.