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Finding the Third Proportional to 834,562.50 and 1,802,163

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Solution

The third proportional to 834,562.50 and 1,802,163 is: 3,891,609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,562.50 : 1,802,163 = 1,802,163 : x
  2. Step 2: Convert to fraction form
    834,562.50/1,802,163 = 1,802,163/x
  3. Step 3: Cross multiply
    834,562.50x = 1,802,163 × 1,802,163
  4. Step 4: Simplify right side
    834,562.50x = 3,247,791,478,569
  5. Step 5: Solve for x
    x = 3,247,791,478,569/834,562.50
  6. Step 6: Final answer
    x = 3,891,609.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.