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Finding the Third Proportional to 2,146,964 and 4,387,144

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Solution

The third proportional to 2,146,964 and 4,387,144 is: 8,964,767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146,964 : 4,387,144 = 4,387,144 : x
  2. Step 2: Convert to fraction form
    2,146,964/4,387,144 = 4,387,144/x
  3. Step 3: Cross multiply
    2,146,964x = 4,387,144 × 4,387,144
  4. Step 4: Simplify right side
    2,146,964x = 19,247,032,476,736
  5. Step 5: Solve for x
    x = 19,247,032,476,736/2,146,964
  6. Step 6: Final answer
    x = 8,964,767.21

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