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Finding the Third Proportional to 1,535,092 and 2,147,238

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Solution

The third proportional to 1,535,092 and 2,147,238 is: 3,003,488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,092 : 2,147,238 = 2,147,238 : x
  2. Step 2: Convert to fraction form
    1,535,092/2,147,238 = 2,147,238/x
  3. Step 3: Cross multiply
    1,535,092x = 2,147,238 × 2,147,238
  4. Step 4: Simplify right side
    1,535,092x = 4,610,631,028,644
  5. Step 5: Solve for x
    x = 4,610,631,028,644/1,535,092
  6. Step 6: Final answer
    x = 3,003,488.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.