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Finding the Third Proportional to 807,165 and 1,771,773.75

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Solution

The third proportional to 807,165 and 1,771,773.75 is: 3,889,145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,165 : 1,771,773.75 = 1,771,773.75 : x
  2. Step 2: Convert to fraction form
    807,165/1,771,773.75 = 1,771,773.75/x
  3. Step 3: Cross multiply
    807,165x = 1,771,773.75 × 1,771,773.75
  4. Step 4: Simplify right side
    807,165x = 3,139,182,221,189.06
  5. Step 5: Solve for x
    x = 3,139,182,221,189.06/807,165
  6. Step 6: Final answer
    x = 3,889,145.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.