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Finding the Third Proportional to 2,109,399 and 4,368,336

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Solution

The third proportional to 2,109,399 and 4,368,336 is: 9,046,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109,399 : 4,368,336 = 4,368,336 : x
  2. Step 2: Convert to fraction form
    2,109,399/4,368,336 = 4,368,336/x
  3. Step 3: Cross multiply
    2,109,399x = 4,368,336 × 4,368,336
  4. Step 4: Simplify right side
    2,109,399x = 19,082,359,408,896
  5. Step 5: Solve for x
    x = 19,082,359,408,896/2,109,399
  6. Step 6: Final answer
    x = 9,046,348.94

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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.