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Finding the Third Proportional to 2,146,949 and 4,387,114

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Solution

The third proportional to 2,146,949 and 4,387,114 is: 8,964,707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146,949 : 4,387,114 = 4,387,114 : x
  2. Step 2: Convert to fraction form
    2,146,949/4,387,114 = 4,387,114/x
  3. Step 3: Cross multiply
    2,146,949x = 4,387,114 × 4,387,114
  4. Step 4: Simplify right side
    2,146,949x = 19,246,769,248,996
  5. Step 5: Solve for x
    x = 19,246,769,248,996/2,146,949
  6. Step 6: Final answer
    x = 8,964,707.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.