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Finding the Third Proportional to 2,001,975.75 and 4,145,964.75

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Solution

The third proportional to 2,001,975.75 and 4,145,964.75 is: 8,586,029.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001,975.75 : 4,145,964.75 = 4,145,964.75 : x
  2. Step 2: Convert to fraction form
    2,001,975.75/4,145,964.75 = 4,145,964.75/x
  3. Step 3: Cross multiply
    2,001,975.75x = 4,145,964.75 × 4,145,964.75
  4. Step 4: Simplify right side
    2,001,975.75x = 17,189,023,708,242.56
  5. Step 5: Solve for x
    x = 17,189,023,708,242.56/2,001,975.75
  6. Step 6: Final answer
    x = 8,586,029.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.