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Finding the Third Proportional to 775,806 and 1,197,837

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Solution

The third proportional to 775,806 and 1,197,837 is: 1,849,448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,806 : 1,197,837 = 1,197,837 : x
  2. Step 2: Convert to fraction form
    775,806/1,197,837 = 1,197,837/x
  3. Step 3: Cross multiply
    775,806x = 1,197,837 × 1,197,837
  4. Step 4: Simplify right side
    775,806x = 1,434,813,478,569
  5. Step 5: Solve for x
    x = 1,434,813,478,569/775,806
  6. Step 6: Final answer
    x = 1,849,448.80

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.