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Finding the Third Proportional to 452,830.50 and 969,067.13

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Solution

The third proportional to 452,830.50 and 969,067.13 is: 2,073,824.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,830.50 : 969,067.13 = 969,067.13 : x
  2. Step 2: Convert to fraction form
    452,830.50/969,067.13 = 969,067.13/x
  3. Step 3: Cross multiply
    452,830.50x = 969,067.13 × 969,067.13
  4. Step 4: Simplify right side
    452,830.50x = 939,091,092,755.77
  5. Step 5: Solve for x
    x = 939,091,092,755.77/452,830.50
  6. Step 6: Final answer
    x = 2,073,824.74

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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.