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Finding the Third Proportional to 985,746 and 1,482,993

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Solution

The third proportional to 985,746 and 1,482,993 is: 2,231,069.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,746 : 1,482,993 = 1,482,993 : x
  2. Step 2: Convert to fraction form
    985,746/1,482,993 = 1,482,993/x
  3. Step 3: Cross multiply
    985,746x = 1,482,993 × 1,482,993
  4. Step 4: Simplify right side
    985,746x = 2,199,268,238,049
  5. Step 5: Solve for x
    x = 2,199,268,238,049/985,746
  6. Step 6: Final answer
    x = 2,231,069.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.