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Finding the Third Proportional to 474,156 and 1,033,524

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Solution

The third proportional to 474,156 and 1,033,524 is: 2,252,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,156 : 1,033,524 = 1,033,524 : x
  2. Step 2: Convert to fraction form
    474,156/1,033,524 = 1,033,524/x
  3. Step 3: Cross multiply
    474,156x = 1,033,524 × 1,033,524
  4. Step 4: Simplify right side
    474,156x = 1,068,171,858,576
  5. Step 5: Solve for x
    x = 1,068,171,858,576/474,156
  6. Step 6: Final answer
    x = 2,252,785.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.