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Finding the Third Proportional to 1,381,095 and 2,092,965.75

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Solution

The third proportional to 1,381,095 and 2,092,965.75 is: 3,171,762.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381,095 : 2,092,965.75 = 2,092,965.75 : x
  2. Step 2: Convert to fraction form
    1,381,095/2,092,965.75 = 2,092,965.75/x
  3. Step 3: Cross multiply
    1,381,095x = 2,092,965.75 × 2,092,965.75
  4. Step 4: Simplify right side
    1,381,095x = 4,380,505,630,673.06
  5. Step 5: Solve for x
    x = 4,380,505,630,673.06/1,381,095
  6. Step 6: Final answer
    x = 3,171,762.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.