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Finding the Third Proportional to 442,632 and 948,378

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Solution

The third proportional to 442,632 and 948,378 is: 2,031,983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,632 : 948,378 = 948,378 : x
  2. Step 2: Convert to fraction form
    442,632/948,378 = 948,378/x
  3. Step 3: Cross multiply
    442,632x = 948,378 × 948,378
  4. Step 4: Simplify right side
    442,632x = 899,420,830,884
  5. Step 5: Solve for x
    x = 899,420,830,884/442,632
  6. Step 6: Final answer
    x = 2,031,983.30

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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.