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Finding the Third Proportional to 783,601 and 1,697,622

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Solution

The third proportional to 783,601 and 1,697,622 is: 3,677,790.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,601 : 1,697,622 = 1,697,622 : x
  2. Step 2: Convert to fraction form
    783,601/1,697,622 = 1,697,622/x
  3. Step 3: Cross multiply
    783,601x = 1,697,622 × 1,697,622
  4. Step 4: Simplify right side
    783,601x = 2,881,920,454,884
  5. Step 5: Solve for x
    x = 2,881,920,454,884/783,601
  6. Step 6: Final answer
    x = 3,677,790.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.