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Finding the Third Proportional to 749,364.75 and 1,648,198.13

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Solution

The third proportional to 749,364.75 and 1,648,198.13 is: 3,625,146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,364.75 : 1,648,198.13 = 1,648,198.13 : x
  2. Step 2: Convert to fraction form
    749,364.75/1,648,198.13 = 1,648,198.13/x
  3. Step 3: Cross multiply
    749,364.75x = 1,648,198.13 × 1,648,198.13
  4. Step 4: Simplify right side
    749,364.75x = 2,716,557,059,253.52
  5. Step 5: Solve for x
    x = 2,716,557,059,253.52/749,364.75
  6. Step 6: Final answer
    x = 3,625,146.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.