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Finding the Third Proportional to 1,281,092 and 2,965,416

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Solution

The third proportional to 1,281,092 and 2,965,416 is: 6,864,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,092 : 2,965,416 = 2,965,416 : x
  2. Step 2: Convert to fraction form
    1,281,092/2,965,416 = 2,965,416/x
  3. Step 3: Cross multiply
    1,281,092x = 2,965,416 × 2,965,416
  4. Step 4: Simplify right side
    1,281,092x = 8,793,692,053,056
  5. Step 5: Solve for x
    x = 8,793,692,053,056/1,281,092
  6. Step 6: Final answer
    x = 6,864,215.88

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.