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Finding the Third Proportional to 1,681,950 and 2,542,989

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Solution

The third proportional to 1,681,950 and 2,542,989 is: 3,844,818.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,950 : 2,542,989 = 2,542,989 : x
  2. Step 2: Convert to fraction form
    1,681,950/2,542,989 = 2,542,989/x
  3. Step 3: Cross multiply
    1,681,950x = 2,542,989 × 2,542,989
  4. Step 4: Simplify right side
    1,681,950x = 6,466,793,054,121
  5. Step 5: Solve for x
    x = 6,466,793,054,121/1,681,950
  6. Step 6: Final answer
    x = 3,844,818.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.