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Finding the Third Proportional to 1,206,629 and 2,496,775

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Solution

The third proportional to 1,206,629 and 2,496,775 is: 5,166,364.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,629 : 2,496,775 = 2,496,775 : x
  2. Step 2: Convert to fraction form
    1,206,629/2,496,775 = 2,496,775/x
  3. Step 3: Cross multiply
    1,206,629x = 2,496,775 × 2,496,775
  4. Step 4: Simplify right side
    1,206,629x = 6,233,885,400,625
  5. Step 5: Solve for x
    x = 6,233,885,400,625/1,206,629
  6. Step 6: Final answer
    x = 5,166,364.64

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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.