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Finding the Third Proportional to 2,988,741 and 6,412,878

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Solution

The third proportional to 2,988,741 and 6,412,878 is: 13,759,975.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988,741 : 6,412,878 = 6,412,878 : x
  2. Step 2: Convert to fraction form
    2,988,741/6,412,878 = 6,412,878/x
  3. Step 3: Cross multiply
    2,988,741x = 6,412,878 × 6,412,878
  4. Step 4: Simplify right side
    2,988,741x = 41,125,004,242,884
  5. Step 5: Solve for x
    x = 41,125,004,242,884/2,988,741
  6. Step 6: Final answer
    x = 13,759,975.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.