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Finding the Third Proportional to 2,228,019.75 and 3,301,569

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Solution

The third proportional to 2,228,019.75 and 3,301,569 is: 4,892,397.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228,019.75 : 3,301,569 = 3,301,569 : x
  2. Step 2: Convert to fraction form
    2,228,019.75/3,301,569 = 3,301,569/x
  3. Step 3: Cross multiply
    2,228,019.75x = 3,301,569 × 3,301,569
  4. Step 4: Simplify right side
    2,228,019.75x = 10,900,357,861,761
  5. Step 5: Solve for x
    x = 10,900,357,861,761/2,228,019.75
  6. Step 6: Final answer
    x = 4,892,397.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.