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Finding the Third Proportional to 2,145,847.50 and 3,007,842.75

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Solution

The third proportional to 2,145,847.50 and 3,007,842.75 is: 4,216,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145,847.50 : 3,007,842.75 = 3,007,842.75 : x
  2. Step 2: Convert to fraction form
    2,145,847.50/3,007,842.75 = 3,007,842.75/x
  3. Step 3: Cross multiply
    2,145,847.50x = 3,007,842.75 × 3,007,842.75
  4. Step 4: Simplify right side
    2,145,847.50x = 9,047,118,008,727.56
  5. Step 5: Solve for x
    x = 9,047,118,008,727.56/2,145,847.50
  6. Step 6: Final answer
    x = 4,216,104.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.