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Finding the Third Proportional to 2,053,785 and 4,579,802

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Solution

The third proportional to 2,053,785 and 4,579,802 is: 10,212,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053,785 : 4,579,802 = 4,579,802 : x
  2. Step 2: Convert to fraction form
    2,053,785/4,579,802 = 4,579,802/x
  3. Step 3: Cross multiply
    2,053,785x = 4,579,802 × 4,579,802
  4. Step 4: Simplify right side
    2,053,785x = 20,974,586,359,204
  5. Step 5: Solve for x
    x = 20,974,586,359,204/2,053,785
  6. Step 6: Final answer
    x = 10,212,649.50

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.