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Finding the Third Proportional to 2,143,740 and 4,463,890

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Solution

The third proportional to 2,143,740 and 4,463,890 is: 9,295,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,740 : 4,463,890 = 4,463,890 : x
  2. Step 2: Convert to fraction form
    2,143,740/4,463,890 = 4,463,890/x
  3. Step 3: Cross multiply
    2,143,740x = 4,463,890 × 4,463,890
  4. Step 4: Simplify right side
    2,143,740x = 19,926,313,932,100
  5. Step 5: Solve for x
    x = 19,926,313,932,100/2,143,740
  6. Step 6: Final answer
    x = 9,295,116.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.