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Finding the Third Proportional to 442,674 and 948,472

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Solution

The third proportional to 442,674 and 948,472 is: 2,032,193.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,674 : 948,472 = 948,472 : x
  2. Step 2: Convert to fraction form
    442,674/948,472 = 948,472/x
  3. Step 3: Cross multiply
    442,674x = 948,472 × 948,472
  4. Step 4: Simplify right side
    442,674x = 899,599,134,784
  5. Step 5: Solve for x
    x = 899,599,134,784/442,674
  6. Step 6: Final answer
    x = 2,032,193.30

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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.