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Finding the Third Proportional to 758,883.75 and 1,616,085

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Solution

The third proportional to 758,883.75 and 1,616,085 is: 3,441,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,883.75 : 1,616,085 = 1,616,085 : x
  2. Step 2: Convert to fraction form
    758,883.75/1,616,085 = 1,616,085/x
  3. Step 3: Cross multiply
    758,883.75x = 1,616,085 × 1,616,085
  4. Step 4: Simplify right side
    758,883.75x = 2,611,730,727,225
  5. Step 5: Solve for x
    x = 2,611,730,727,225/758,883.75
  6. Step 6: Final answer
    x = 3,441,542.56

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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.