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Finding the Third Proportional to 933,943.50 and 1,409,493

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Solution

The third proportional to 933,943.50 and 1,409,493 is: 2,127,184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,943.50 : 1,409,493 = 1,409,493 : x
  2. Step 2: Convert to fraction form
    933,943.50/1,409,493 = 1,409,493/x
  3. Step 3: Cross multiply
    933,943.50x = 1,409,493 × 1,409,493
  4. Step 4: Simplify right side
    933,943.50x = 1,986,670,517,049
  5. Step 5: Solve for x
    x = 1,986,670,517,049/933,943.50
  6. Step 6: Final answer
    x = 2,127,184.91

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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.