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Finding the Third Proportional to 809,526 and 1,207,723

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Solution

The third proportional to 809,526 and 1,207,723 is: 1,801,788.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,526 : 1,207,723 = 1,207,723 : x
  2. Step 2: Convert to fraction form
    809,526/1,207,723 = 1,207,723/x
  3. Step 3: Cross multiply
    809,526x = 1,207,723 × 1,207,723
  4. Step 4: Simplify right side
    809,526x = 1,458,594,844,729
  5. Step 5: Solve for x
    x = 1,458,594,844,729/809,526
  6. Step 6: Final answer
    x = 1,801,788.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.