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Finding the Third Proportional to 801,683 and 1,203,579

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Solution

The third proportional to 801,683 and 1,203,579 is: 1,806,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,683 : 1,203,579 = 1,203,579 : x
  2. Step 2: Convert to fraction form
    801,683/1,203,579 = 1,203,579/x
  3. Step 3: Cross multiply
    801,683x = 1,203,579 × 1,203,579
  4. Step 4: Simplify right side
    801,683x = 1,448,602,409,241
  5. Step 5: Solve for x
    x = 1,448,602,409,241/801,683
  6. Step 6: Final answer
    x = 1,806,951.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.