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Finding the Third Proportional to 985,738 and 1,482,982

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Solution

The third proportional to 985,738 and 1,482,982 is: 2,231,054.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,738 : 1,482,982 = 1,482,982 : x
  2. Step 2: Convert to fraction form
    985,738/1,482,982 = 1,482,982/x
  3. Step 3: Cross multiply
    985,738x = 1,482,982 × 1,482,982
  4. Step 4: Simplify right side
    985,738x = 2,199,235,612,324
  5. Step 5: Solve for x
    x = 2,199,235,612,324/985,738
  6. Step 6: Final answer
    x = 2,231,054.92

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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.