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Finding the Third Proportional to 798,022.13 and 1,205,310.38

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Solution

The third proportional to 798,022.13 and 1,205,310.38 is: 1,820,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,022.13 : 1,205,310.38 = 1,205,310.38 : x
  2. Step 2: Convert to fraction form
    798,022.13/1,205,310.38 = 1,205,310.38/x
  3. Step 3: Cross multiply
    798,022.13x = 1,205,310.38 × 1,205,310.38
  4. Step 4: Simplify right side
    798,022.13x = 1,452,773,100,082.64
  5. Step 5: Solve for x
    x = 1,452,773,100,082.64/798,022.13
  6. Step 6: Final answer
    x = 1,820,467.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.