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Finding the Third Proportional to 2,557,051 and 5,202,229

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Solution

The third proportional to 2,557,051 and 5,202,229 is: 10,583,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557,051 : 5,202,229 = 5,202,229 : x
  2. Step 2: Convert to fraction form
    2,557,051/5,202,229 = 5,202,229/x
  3. Step 3: Cross multiply
    2,557,051x = 5,202,229 × 5,202,229
  4. Step 4: Simplify right side
    2,557,051x = 27,063,186,568,441
  5. Step 5: Solve for x
    x = 27,063,186,568,441/2,557,051
  6. Step 6: Final answer
    x = 10,583,749.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.