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Finding the Third Proportional to 2,786,912 and 6,121,872

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Solution

The third proportional to 2,786,912 and 6,121,872 is: 13,447,613.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786,912 : 6,121,872 = 6,121,872 : x
  2. Step 2: Convert to fraction form
    2,786,912/6,121,872 = 6,121,872/x
  3. Step 3: Cross multiply
    2,786,912x = 6,121,872 × 6,121,872
  4. Step 4: Simplify right side
    2,786,912x = 37,477,316,784,384
  5. Step 5: Solve for x
    x = 37,477,316,784,384/2,786,912
  6. Step 6: Final answer
    x = 13,447,613.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.