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Finding the Third Proportional to 1,767,950 and 3,870,268

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Solution

The third proportional to 1,767,950 and 3,870,268 is: 8,472,510.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767,950 : 3,870,268 = 3,870,268 : x
  2. Step 2: Convert to fraction form
    1,767,950/3,870,268 = 3,870,268/x
  3. Step 3: Cross multiply
    1,767,950x = 3,870,268 × 3,870,268
  4. Step 4: Simplify right side
    1,767,950x = 14,978,974,391,824
  5. Step 5: Solve for x
    x = 14,978,974,391,824/1,767,950
  6. Step 6: Final answer
    x = 8,472,510.19

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Why These Related Problems?

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