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Finding the Third Proportional to 748,027.50 and 1,603,218

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Solution

The third proportional to 748,027.50 and 1,603,218 is: 3,436,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,027.50 : 1,603,218 = 1,603,218 : x
  2. Step 2: Convert to fraction form
    748,027.50/1,603,218 = 1,603,218/x
  3. Step 3: Cross multiply
    748,027.50x = 1,603,218 × 1,603,218
  4. Step 4: Simplify right side
    748,027.50x = 2,570,307,955,524
  5. Step 5: Solve for x
    x = 2,570,307,955,524/748,027.50
  6. Step 6: Final answer
    x = 3,436,114.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.