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Finding the Third Proportional to 776,367 and 1,696,662

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Solution

The third proportional to 776,367 and 1,696,662 is: 3,707,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,367 : 1,696,662 = 1,696,662 : x
  2. Step 2: Convert to fraction form
    776,367/1,696,662 = 1,696,662/x
  3. Step 3: Cross multiply
    776,367x = 1,696,662 × 1,696,662
  4. Step 4: Simplify right side
    776,367x = 2,878,661,942,244
  5. Step 5: Solve for x
    x = 2,878,661,942,244/776,367
  6. Step 6: Final answer
    x = 3,707,862.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.