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Finding the Third Proportional to 1,281,462 and 2,818,724

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Solution

The third proportional to 1,281,462 and 2,818,724 is: 6,200,109.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,462 : 2,818,724 = 2,818,724 : x
  2. Step 2: Convert to fraction form
    1,281,462/2,818,724 = 2,818,724/x
  3. Step 3: Cross multiply
    1,281,462x = 2,818,724 × 2,818,724
  4. Step 4: Simplify right side
    1,281,462x = 7,945,204,988,176
  5. Step 5: Solve for x
    x = 7,945,204,988,176/1,281,462
  6. Step 6: Final answer
    x = 6,200,109.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.