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Finding the Third Proportional to 2,109,406 and 4,368,350

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Solution

The third proportional to 2,109,406 and 4,368,350 is: 9,046,376.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109,406 : 4,368,350 = 4,368,350 : x
  2. Step 2: Convert to fraction form
    2,109,406/4,368,350 = 4,368,350/x
  3. Step 3: Cross multiply
    2,109,406x = 4,368,350 × 4,368,350
  4. Step 4: Simplify right side
    2,109,406x = 19,082,481,722,500
  5. Step 5: Solve for x
    x = 19,082,481,722,500/2,109,406
  6. Step 6: Final answer
    x = 9,046,376.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.