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Finding the Third Proportional to 3,405,778.31 and 5,676,090.19

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Solution

The third proportional to 3,405,778.31 and 5,676,090.19 is: 9,459,805.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405,778.31 : 5,676,090.19 = 5,676,090.19 : x
  2. Step 2: Convert to fraction form
    3,405,778.31/5,676,090.19 = 5,676,090.19/x
  3. Step 3: Cross multiply
    3,405,778.31x = 5,676,090.19 × 5,676,090.19
  4. Step 4: Simplify right side
    3,405,778.31x = 32,217,999,816,633.79
  5. Step 5: Solve for x
    x = 32,217,999,816,633.79/3,405,778.31
  6. Step 6: Final answer
    x = 9,459,805.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.