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Finding the Third Proportional to 1,281,567 and 2,728,778

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Solution

The third proportional to 1,281,567 and 2,728,778 is: 5,810,253.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,567 : 2,728,778 = 2,728,778 : x
  2. Step 2: Convert to fraction form
    1,281,567/2,728,778 = 2,728,778/x
  3. Step 3: Cross multiply
    1,281,567x = 2,728,778 × 2,728,778
  4. Step 4: Simplify right side
    1,281,567x = 7,446,229,373,284
  5. Step 5: Solve for x
    x = 7,446,229,373,284/1,281,567
  6. Step 6: Final answer
    x = 5,810,253.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.