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Finding the Third Proportional to 993,924 and 1,324,226

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Solution

The third proportional to 993,924 and 1,324,226 is: 1,764,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,924 : 1,324,226 = 1,324,226 : x
  2. Step 2: Convert to fraction form
    993,924/1,324,226 = 1,324,226/x
  3. Step 3: Cross multiply
    993,924x = 1,324,226 × 1,324,226
  4. Step 4: Simplify right side
    993,924x = 1,753,574,499,076
  5. Step 5: Solve for x
    x = 1,753,574,499,076/993,924
  6. Step 6: Final answer
    x = 1,764,294.35

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.