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Finding the Third Proportional to 1,524,528 and 2,241,120

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Solution

The third proportional to 1,524,528 and 2,241,120 is: 3,294,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524,528 : 2,241,120 = 2,241,120 : x
  2. Step 2: Convert to fraction form
    1,524,528/2,241,120 = 2,241,120/x
  3. Step 3: Cross multiply
    1,524,528x = 2,241,120 × 2,241,120
  4. Step 4: Simplify right side
    1,524,528x = 5,022,618,854,400
  5. Step 5: Solve for x
    x = 5,022,618,854,400/1,524,528
  6. Step 6: Final answer
    x = 3,294,540.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.