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Finding the Third Proportional to 2,682,234 and 5,818,581

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Solution

The third proportional to 2,682,234 and 5,818,581 is: 12,622,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682,234 : 5,818,581 = 5,818,581 : x
  2. Step 2: Convert to fraction form
    2,682,234/5,818,581 = 5,818,581/x
  3. Step 3: Cross multiply
    2,682,234x = 5,818,581 × 5,818,581
  4. Step 4: Simplify right side
    2,682,234x = 33,855,884,853,561
  5. Step 5: Solve for x
    x = 33,855,884,853,561/2,682,234
  6. Step 6: Final answer
    x = 12,622,271.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.