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Finding the Third Proportional to 985,950 and 1,408,941

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Solution

The third proportional to 985,950 and 1,408,941 is: 2,013,403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,950 : 1,408,941 = 1,408,941 : x
  2. Step 2: Convert to fraction form
    985,950/1,408,941 = 1,408,941/x
  3. Step 3: Cross multiply
    985,950x = 1,408,941 × 1,408,941
  4. Step 4: Simplify right side
    985,950x = 1,985,114,741,481
  5. Step 5: Solve for x
    x = 1,985,114,741,481/985,950
  6. Step 6: Final answer
    x = 2,013,403.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.