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Finding the Third Proportional to 2,558,394 and 5,597,471

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Solution

The third proportional to 2,558,394 and 5,597,471 is: 12,246,620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558,394 : 5,597,471 = 5,597,471 : x
  2. Step 2: Convert to fraction form
    2,558,394/5,597,471 = 5,597,471/x
  3. Step 3: Cross multiply
    2,558,394x = 5,597,471 × 5,597,471
  4. Step 4: Simplify right side
    2,558,394x = 31,331,681,595,841
  5. Step 5: Solve for x
    x = 31,331,681,595,841/2,558,394
  6. Step 6: Final answer
    x = 12,246,620.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.