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Finding the Third Proportional to 2,286,789 and 4,972,144

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Solution

The third proportional to 2,286,789 and 4,972,144 is: 10,810,886.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286,789 : 4,972,144 = 4,972,144 : x
  2. Step 2: Convert to fraction form
    2,286,789/4,972,144 = 4,972,144/x
  3. Step 3: Cross multiply
    2,286,789x = 4,972,144 × 4,972,144
  4. Step 4: Simplify right side
    2,286,789x = 24,722,215,956,736
  5. Step 5: Solve for x
    x = 24,722,215,956,736/2,286,789
  6. Step 6: Final answer
    x = 10,810,886.34

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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.