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Finding the Third Proportional to 1,977,726.38 and 4,198,250.25

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Solution

The third proportional to 1,977,726.38 and 4,198,250.25 is: 8,911,902.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977,726.38 : 4,198,250.25 = 4,198,250.25 : x
  2. Step 2: Convert to fraction form
    1,977,726.38/4,198,250.25 = 4,198,250.25/x
  3. Step 3: Cross multiply
    1,977,726.38x = 4,198,250.25 × 4,198,250.25
  4. Step 4: Simplify right side
    1,977,726.38x = 17,625,305,161,625.06
  5. Step 5: Solve for x
    x = 17,625,305,161,625.06/1,977,726.38
  6. Step 6: Final answer
    x = 8,911,902.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.