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Finding the Third Proportional to 1,845,191.25 and 2,597,301

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Solution

The third proportional to 1,845,191.25 and 2,597,301 is: 3,655,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845,191.25 : 2,597,301 = 2,597,301 : x
  2. Step 2: Convert to fraction form
    1,845,191.25/2,597,301 = 2,597,301/x
  3. Step 3: Cross multiply
    1,845,191.25x = 2,597,301 × 2,597,301
  4. Step 4: Simplify right side
    1,845,191.25x = 6,745,972,484,601
  5. Step 5: Solve for x
    x = 6,745,972,484,601/1,845,191.25
  6. Step 6: Final answer
    x = 3,655,974.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.