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Finding the Third Proportional to 709,357.50 and 1,543,131

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Solution

The third proportional to 709,357.50 and 1,543,131 is: 3,356,915.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,357.50 : 1,543,131 = 1,543,131 : x
  2. Step 2: Convert to fraction form
    709,357.50/1,543,131 = 1,543,131/x
  3. Step 3: Cross multiply
    709,357.50x = 1,543,131 × 1,543,131
  4. Step 4: Simplify right side
    709,357.50x = 2,381,253,283,161
  5. Step 5: Solve for x
    x = 2,381,253,283,161/709,357.50
  6. Step 6: Final answer
    x = 3,356,915.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.