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Finding the Third Proportional to 985,956 and 1,408,950

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Solution

The third proportional to 985,956 and 1,408,950 is: 2,013,416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,956 : 1,408,950 = 1,408,950 : x
  2. Step 2: Convert to fraction form
    985,956/1,408,950 = 1,408,950/x
  3. Step 3: Cross multiply
    985,956x = 1,408,950 × 1,408,950
  4. Step 4: Simplify right side
    985,956x = 1,985,140,102,500
  5. Step 5: Solve for x
    x = 1,985,140,102,500/985,956
  6. Step 6: Final answer
    x = 2,013,416.52

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