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Finding the Third Proportional to 2,053,777 and 4,579,785

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Solution

The third proportional to 2,053,777 and 4,579,785 is: 10,212,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053,777 : 4,579,785 = 4,579,785 : x
  2. Step 2: Convert to fraction form
    2,053,777/4,579,785 = 4,579,785/x
  3. Step 3: Cross multiply
    2,053,777x = 4,579,785 × 4,579,785
  4. Step 4: Simplify right side
    2,053,777x = 20,974,430,646,225
  5. Step 5: Solve for x
    x = 20,974,430,646,225/2,053,777
  6. Step 6: Final answer
    x = 10,212,613.47

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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.