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Finding the Third Proportional to 1,162,357 and 2,508,206

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Solution

The third proportional to 1,162,357 and 2,508,206 is: 5,412,362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162,357 : 2,508,206 = 2,508,206 : x
  2. Step 2: Convert to fraction form
    1,162,357/2,508,206 = 2,508,206/x
  3. Step 3: Cross multiply
    1,162,357x = 2,508,206 × 2,508,206
  4. Step 4: Simplify right side
    1,162,357x = 6,291,097,338,436
  5. Step 5: Solve for x
    x = 6,291,097,338,436/1,162,357
  6. Step 6: Final answer
    x = 5,412,362.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.