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Finding the Third Proportional to 1,014,846 and 2,230,569

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Solution

The third proportional to 1,014,846 and 2,230,569 is: 4,902,653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014,846 : 2,230,569 = 2,230,569 : x
  2. Step 2: Convert to fraction form
    1,014,846/2,230,569 = 2,230,569/x
  3. Step 3: Cross multiply
    1,014,846x = 2,230,569 × 2,230,569
  4. Step 4: Simplify right side
    1,014,846x = 4,975,438,063,761
  5. Step 5: Solve for x
    x = 4,975,438,063,761/1,014,846
  6. Step 6: Final answer
    x = 4,902,653.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.