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Finding the Third Proportional to 773,024.25 and 1,683,282.75

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Solution

The third proportional to 773,024.25 and 1,683,282.75 is: 3,665,397.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,024.25 : 1,683,282.75 = 1,683,282.75 : x
  2. Step 2: Convert to fraction form
    773,024.25/1,683,282.75 = 1,683,282.75/x
  3. Step 3: Cross multiply
    773,024.25x = 1,683,282.75 × 1,683,282.75
  4. Step 4: Simplify right side
    773,024.25x = 2,833,440,816,447.56
  5. Step 5: Solve for x
    x = 2,833,440,816,447.56/773,024.25
  6. Step 6: Final answer
    x = 3,665,397.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.