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Finding the Third Proportional to 2,564,073 and 5,471,370

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Solution

The third proportional to 2,564,073 and 5,471,370 is: 11,675,131.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,073 : 5,471,370 = 5,471,370 : x
  2. Step 2: Convert to fraction form
    2,564,073/5,471,370 = 5,471,370/x
  3. Step 3: Cross multiply
    2,564,073x = 5,471,370 × 5,471,370
  4. Step 4: Simplify right side
    2,564,073x = 29,935,889,676,900
  5. Step 5: Solve for x
    x = 29,935,889,676,900/2,564,073
  6. Step 6: Final answer
    x = 11,675,131.59

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