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Finding the Third Proportional to 2,182,538 and 4,761,544

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Solution

The third proportional to 2,182,538 and 4,761,544 is: 10,388,044.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,538 : 4,761,544 = 4,761,544 : x
  2. Step 2: Convert to fraction form
    2,182,538/4,761,544 = 4,761,544/x
  3. Step 3: Cross multiply
    2,182,538x = 4,761,544 × 4,761,544
  4. Step 4: Simplify right side
    2,182,538x = 22,672,301,263,936
  5. Step 5: Solve for x
    x = 22,672,301,263,936/2,182,538
  6. Step 6: Final answer
    x = 10,388,044.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.