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Finding the Third Proportional to 801,436.78 and 1,685,896.03

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Solution

The third proportional to 801,436.78 and 1,685,896.03 is: 3,546,437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,436.78 : 1,685,896.03 = 1,685,896.03 : x
  2. Step 2: Convert to fraction form
    801,436.78/1,685,896.03 = 1,685,896.03/x
  3. Step 3: Cross multiply
    801,436.78x = 1,685,896.03 × 1,685,896.03
  4. Step 4: Simplify right side
    801,436.78x = 2,842,245,428,184.50
  5. Step 5: Solve for x
    x = 2,842,245,428,184.50/801,436.78
  6. Step 6: Final answer
    x = 3,546,437.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.