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Finding the Third Proportional to 2,582,068 and 5,471,288

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Solution

The third proportional to 2,582,068 and 5,471,288 is: 11,593,417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582,068 : 5,471,288 = 5,471,288 : x
  2. Step 2: Convert to fraction form
    2,582,068/5,471,288 = 5,471,288/x
  3. Step 3: Cross multiply
    2,582,068x = 5,471,288 × 5,471,288
  4. Step 4: Simplify right side
    2,582,068x = 29,934,992,378,944
  5. Step 5: Solve for x
    x = 29,934,992,378,944/2,582,068
  6. Step 6: Final answer
    x = 11,593,417.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.