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Finding the Third Proportional to 706,252.50 and 1,543,711.50

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Solution

The third proportional to 706,252.50 and 1,543,711.50 is: 3,374,211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,252.50 : 1,543,711.50 = 1,543,711.50 : x
  2. Step 2: Convert to fraction form
    706,252.50/1,543,711.50 = 1,543,711.50/x
  3. Step 3: Cross multiply
    706,252.50x = 1,543,711.50 × 1,543,711.50
  4. Step 4: Simplify right side
    706,252.50x = 2,383,045,195,232.25
  5. Step 5: Solve for x
    x = 2,383,045,195,232.25/706,252.50
  6. Step 6: Final answer
    x = 3,374,211.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.