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Finding the Third Proportional to 578,062 and 1,218,443

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Solution

The third proportional to 578,062 and 1,218,443 is: 2,568,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,062 : 1,218,443 = 1,218,443 : x
  2. Step 2: Convert to fraction form
    578,062/1,218,443 = 1,218,443/x
  3. Step 3: Cross multiply
    578,062x = 1,218,443 × 1,218,443
  4. Step 4: Simplify right side
    578,062x = 1,484,603,344,249
  5. Step 5: Solve for x
    x = 1,484,603,344,249/578,062
  6. Step 6: Final answer
    x = 2,568,242.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.