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Finding the Third Proportional to 1,338,026.88 and 2,038,408.38

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Solution

The third proportional to 1,338,026.88 and 2,038,408.38 is: 3,105,400.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338,026.88 : 2,038,408.38 = 2,038,408.38 : x
  2. Step 2: Convert to fraction form
    1,338,026.88/2,038,408.38 = 2,038,408.38/x
  3. Step 3: Cross multiply
    1,338,026.88x = 2,038,408.38 × 2,038,408.38
  4. Step 4: Simplify right side
    1,338,026.88x = 4,155,108,703,270.14
  5. Step 5: Solve for x
    x = 4,155,108,703,270.14/1,338,026.88
  6. Step 6: Final answer
    x = 3,105,400.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.