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Finding the Third Proportional to 809,536 and 1,743,663

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Solution

The third proportional to 809,536 and 1,743,663 is: 3,755,683.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,536 : 1,743,663 = 1,743,663 : x
  2. Step 2: Convert to fraction form
    809,536/1,743,663 = 1,743,663/x
  3. Step 3: Cross multiply
    809,536x = 1,743,663 × 1,743,663
  4. Step 4: Simplify right side
    809,536x = 3,040,360,657,569
  5. Step 5: Solve for x
    x = 3,040,360,657,569/809,536
  6. Step 6: Final answer
    x = 3,755,683.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.