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Finding the Third Proportional to 2,351,960 and 5,102,224

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Solution

The third proportional to 2,351,960 and 5,102,224 is: 11,068,508.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351,960 : 5,102,224 = 5,102,224 : x
  2. Step 2: Convert to fraction form
    2,351,960/5,102,224 = 5,102,224/x
  3. Step 3: Cross multiply
    2,351,960x = 5,102,224 × 5,102,224
  4. Step 4: Simplify right side
    2,351,960x = 26,032,689,746,176
  5. Step 5: Solve for x
    x = 26,032,689,746,176/2,351,960
  6. Step 6: Final answer
    x = 11,068,508.71

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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.