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Finding the Third Proportional to 804,858.75 and 1,705,672.13

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Solution

The third proportional to 804,858.75 and 1,705,672.13 is: 3,614,693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,858.75 : 1,705,672.13 = 1,705,672.13 : x
  2. Step 2: Convert to fraction form
    804,858.75/1,705,672.13 = 1,705,672.13/x
  3. Step 3: Cross multiply
    804,858.75x = 1,705,672.13 × 1,705,672.13
  4. Step 4: Simplify right side
    804,858.75x = 2,909,317,398,002.02
  5. Step 5: Solve for x
    x = 2,909,317,398,002.02/804,858.75
  6. Step 6: Final answer
    x = 3,614,693.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.