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Finding the Third Proportional to 474,002 and 1,014,436

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Solution

The third proportional to 474,002 and 1,014,436 is: 2,171,046.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,002 : 1,014,436 = 1,014,436 : x
  2. Step 2: Convert to fraction form
    474,002/1,014,436 = 1,014,436/x
  3. Step 3: Cross multiply
    474,002x = 1,014,436 × 1,014,436
  4. Step 4: Simplify right side
    474,002x = 1,029,080,398,096
  5. Step 5: Solve for x
    x = 1,029,080,398,096/474,002
  6. Step 6: Final answer
    x = 2,171,046.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.