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Finding the Third Proportional to 1,900,826 and 3,936,387

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Solution

The third proportional to 1,900,826 and 3,936,387 is: 8,151,794.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900,826 : 3,936,387 = 3,936,387 : x
  2. Step 2: Convert to fraction form
    1,900,826/3,936,387 = 3,936,387/x
  3. Step 3: Cross multiply
    1,900,826x = 3,936,387 × 3,936,387
  4. Step 4: Simplify right side
    1,900,826x = 15,495,142,613,769
  5. Step 5: Solve for x
    x = 15,495,142,613,769/1,900,826
  6. Step 6: Final answer
    x = 8,151,794.33

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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.