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Finding the Third Proportional to 2,105,260.88 and 3,172,858.59

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Solution

The third proportional to 2,105,260.88 and 3,172,858.59 is: 4,781,845.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,260.88 : 3,172,858.59 = 3,172,858.59 : x
  2. Step 2: Convert to fraction form
    2,105,260.88/3,172,858.59 = 3,172,858.59/x
  3. Step 3: Cross multiply
    2,105,260.88x = 3,172,858.59 × 3,172,858.59
  4. Step 4: Simplify right side
    2,105,260.88x = 10,067,031,655,933.23
  5. Step 5: Solve for x
    x = 10,067,031,655,933.23/2,105,260.88
  6. Step 6: Final answer
    x = 4,781,845.22

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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.