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Finding the Third Proportional to 747,447.75 and 1,594,552.50

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Solution

The third proportional to 747,447.75 and 1,594,552.50 is: 3,401,706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,447.75 : 1,594,552.50 = 1,594,552.50 : x
  2. Step 2: Convert to fraction form
    747,447.75/1,594,552.50 = 1,594,552.50/x
  3. Step 3: Cross multiply
    747,447.75x = 1,594,552.50 × 1,594,552.50
  4. Step 4: Simplify right side
    747,447.75x = 2,542,597,675,256.25
  5. Step 5: Solve for x
    x = 2,542,597,675,256.25/747,447.75
  6. Step 6: Final answer
    x = 3,401,706.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.