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Finding the Third Proportional to 801,877.50 and 1,670,100

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Solution

The third proportional to 801,877.50 and 1,670,100 is: 3,478,379.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,877.50 : 1,670,100 = 1,670,100 : x
  2. Step 2: Convert to fraction form
    801,877.50/1,670,100 = 1,670,100/x
  3. Step 3: Cross multiply
    801,877.50x = 1,670,100 × 1,670,100
  4. Step 4: Simplify right side
    801,877.50x = 2,789,234,010,000
  5. Step 5: Solve for x
    x = 2,789,234,010,000/801,877.50
  6. Step 6: Final answer
    x = 3,478,379.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.