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Finding the Third Proportional to 2,456,458 and 5,286,164

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Solution

The third proportional to 2,456,458 and 5,286,164 is: 11,375,537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456,458 : 5,286,164 = 5,286,164 : x
  2. Step 2: Convert to fraction form
    2,456,458/5,286,164 = 5,286,164/x
  3. Step 3: Cross multiply
    2,456,458x = 5,286,164 × 5,286,164
  4. Step 4: Simplify right side
    2,456,458x = 27,943,529,834,896
  5. Step 5: Solve for x
    x = 27,943,529,834,896/2,456,458
  6. Step 6: Final answer
    x = 11,375,537.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.