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Finding the Third Proportional to 1,697,566 and 2,454,977

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Solution

The third proportional to 1,697,566 and 2,454,977 is: 3,550,325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697,566 : 2,454,977 = 2,454,977 : x
  2. Step 2: Convert to fraction form
    1,697,566/2,454,977 = 2,454,977/x
  3. Step 3: Cross multiply
    1,697,566x = 2,454,977 × 2,454,977
  4. Step 4: Simplify right side
    1,697,566x = 6,026,912,070,529
  5. Step 5: Solve for x
    x = 6,026,912,070,529/1,697,566
  6. Step 6: Final answer
    x = 3,550,325.63

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.