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Finding the Third Proportional to 457,884 and 994,546.13

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Solution

The third proportional to 457,884 and 994,546.13 is: 2,160,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,884 : 994,546.13 = 994,546.13 : x
  2. Step 2: Convert to fraction form
    457,884/994,546.13 = 994,546.13/x
  3. Step 3: Cross multiply
    457,884x = 994,546.13 × 994,546.13
  4. Step 4: Simplify right side
    457,884x = 989,121,994,752.52
  5. Step 5: Solve for x
    x = 989,121,994,752.52/457,884
  6. Step 6: Final answer
    x = 2,160,202.14

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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.