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Finding the Third Proportional to 2,109,376 and 4,368,290

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Solution

The third proportional to 2,109,376 and 4,368,290 is: 9,046,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109,376 : 4,368,290 = 4,368,290 : x
  2. Step 2: Convert to fraction form
    2,109,376/4,368,290 = 4,368,290/x
  3. Step 3: Cross multiply
    2,109,376x = 4,368,290 × 4,368,290
  4. Step 4: Simplify right side
    2,109,376x = 19,081,957,524,100
  5. Step 5: Solve for x
    x = 19,081,957,524,100/2,109,376
  6. Step 6: Final answer
    x = 9,046,257.06

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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.