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Finding the Third Proportional to 3,612,010 and 4,952,982.75

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Solution

The third proportional to 3,612,010 and 4,952,982.75 is: 6,791,796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612,010 : 4,952,982.75 = 4,952,982.75 : x
  2. Step 2: Convert to fraction form
    3,612,010/4,952,982.75 = 4,952,982.75/x
  3. Step 3: Cross multiply
    3,612,010x = 4,952,982.75 × 4,952,982.75
  4. Step 4: Simplify right side
    3,612,010x = 24,532,038,121,797.56
  5. Step 5: Solve for x
    x = 24,532,038,121,797.56/3,612,010
  6. Step 6: Final answer
    x = 6,791,796.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.