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Finding the Third Proportional to 2,679,878 and 5,779,912

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Solution

The third proportional to 2,679,878 and 5,779,912 is: 12,466,008.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679,878 : 5,779,912 = 5,779,912 : x
  2. Step 2: Convert to fraction form
    2,679,878/5,779,912 = 5,779,912/x
  3. Step 3: Cross multiply
    2,679,878x = 5,779,912 × 5,779,912
  4. Step 4: Simplify right side
    2,679,878x = 33,407,382,727,744
  5. Step 5: Solve for x
    x = 33,407,382,727,744/2,679,878
  6. Step 6: Final answer
    x = 12,466,008.80

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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.