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Finding the Third Proportional to 807,649.31 and 1,761,999.75

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Solution

The third proportional to 807,649.31 and 1,761,999.75 is: 3,844,048.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,649.31 : 1,761,999.75 = 1,761,999.75 : x
  2. Step 2: Convert to fraction form
    807,649.31/1,761,999.75 = 1,761,999.75/x
  3. Step 3: Cross multiply
    807,649.31x = 1,761,999.75 × 1,761,999.75
  4. Step 4: Simplify right side
    807,649.31x = 3,104,643,119,000.06
  5. Step 5: Solve for x
    x = 3,104,643,119,000.06/807,649.31
  6. Step 6: Final answer
    x = 3,844,048.49

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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.