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Finding the Third Proportional to 2,310,794 and 4,986,953

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Solution

The third proportional to 2,310,794 and 4,986,953 is: 10,762,404.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310,794 : 4,986,953 = 4,986,953 : x
  2. Step 2: Convert to fraction form
    2,310,794/4,986,953 = 4,986,953/x
  3. Step 3: Cross multiply
    2,310,794x = 4,986,953 × 4,986,953
  4. Step 4: Simplify right side
    2,310,794x = 24,869,700,224,209
  5. Step 5: Solve for x
    x = 24,869,700,224,209/2,310,794
  6. Step 6: Final answer
    x = 10,762,404.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.