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Finding the Third Proportional to 1,633,993 and 2,396,053.50

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Solution

The third proportional to 1,633,993 and 2,396,053.50 is: 3,513,523.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633,993 : 2,396,053.50 = 2,396,053.50 : x
  2. Step 2: Convert to fraction form
    1,633,993/2,396,053.50 = 2,396,053.50/x
  3. Step 3: Cross multiply
    1,633,993x = 2,396,053.50 × 2,396,053.50
  4. Step 4: Simplify right side
    1,633,993x = 5,741,072,374,862.25
  5. Step 5: Solve for x
    x = 5,741,072,374,862.25/1,633,993
  6. Step 6: Final answer
    x = 3,513,523.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.