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Finding the Third Proportional to 2,706,450.75 and 3,807,909

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Solution

The third proportional to 2,706,450.75 and 3,807,909 is: 5,357,633.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706,450.75 : 3,807,909 = 3,807,909 : x
  2. Step 2: Convert to fraction form
    2,706,450.75/3,807,909 = 3,807,909/x
  3. Step 3: Cross multiply
    2,706,450.75x = 3,807,909 × 3,807,909
  4. Step 4: Simplify right side
    2,706,450.75x = 14,500,170,952,281
  5. Step 5: Solve for x
    x = 14,500,170,952,281/2,706,450.75
  6. Step 6: Final answer
    x = 5,357,633.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.