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Finding the Third Proportional to 2,564,028 and 5,471,238

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Solution

The third proportional to 2,564,028 and 5,471,238 is: 11,674,773.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,028 : 5,471,238 = 5,471,238 : x
  2. Step 2: Convert to fraction form
    2,564,028/5,471,238 = 5,471,238/x
  3. Step 3: Cross multiply
    2,564,028x = 5,471,238 × 5,471,238
  4. Step 4: Simplify right side
    2,564,028x = 29,934,445,252,644
  5. Step 5: Solve for x
    x = 29,934,445,252,644/2,564,028
  6. Step 6: Final answer
    x = 11,674,773.15

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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.