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Finding the Third Proportional to 757,977.75 and 1,642,102.88

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Solution

The third proportional to 757,977.75 and 1,642,102.88 is: 3,557,494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,977.75 : 1,642,102.88 = 1,642,102.88 : x
  2. Step 2: Convert to fraction form
    757,977.75/1,642,102.88 = 1,642,102.88/x
  3. Step 3: Cross multiply
    757,977.75x = 1,642,102.88 × 1,642,102.88
  4. Step 4: Simplify right side
    757,977.75x = 2,696,501,852,083.27
  5. Step 5: Solve for x
    x = 2,696,501,852,083.27/757,977.75
  6. Step 6: Final answer
    x = 3,557,494.73

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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.