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Finding the Third Proportional to 984,077.25 and 1,606,920.75

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Solution

The third proportional to 984,077.25 and 1,606,920.75 is: 2,623,975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,077.25 : 1,606,920.75 = 1,606,920.75 : x
  2. Step 2: Convert to fraction form
    984,077.25/1,606,920.75 = 1,606,920.75/x
  3. Step 3: Cross multiply
    984,077.25x = 1,606,920.75 × 1,606,920.75
  4. Step 4: Simplify right side
    984,077.25x = 2,582,194,296,780.56
  5. Step 5: Solve for x
    x = 2,582,194,296,780.56/984,077.25
  6. Step 6: Final answer
    x = 2,623,975.20

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.