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Finding the Third Proportional to 2,572,032 and 5,586,864

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Solution

The third proportional to 2,572,032 and 5,586,864 is: 12,135,560.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572,032 : 5,586,864 = 5,586,864 : x
  2. Step 2: Convert to fraction form
    2,572,032/5,586,864 = 5,586,864/x
  3. Step 3: Cross multiply
    2,572,032x = 5,586,864 × 5,586,864
  4. Step 4: Simplify right side
    2,572,032x = 31,213,049,354,496
  5. Step 5: Solve for x
    x = 31,213,049,354,496/2,572,032
  6. Step 6: Final answer
    x = 12,135,560.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.