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Finding the Third Proportional to 1,524,763.41 and 2,236,218.47

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Solution

The third proportional to 1,524,763.41 and 2,236,218.47 is: 3,279,638.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524,763.41 : 2,236,218.47 = 2,236,218.47 : x
  2. Step 2: Convert to fraction form
    1,524,763.41/2,236,218.47 = 2,236,218.47/x
  3. Step 3: Cross multiply
    1,524,763.41x = 2,236,218.47 × 2,236,218.47
  4. Step 4: Simplify right side
    1,524,763.41x = 5,000,673,039,978.60
  5. Step 5: Solve for x
    x = 5,000,673,039,978.60/1,524,763.41
  6. Step 6: Final answer
    x = 3,279,638.68

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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.