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Finding the Third Proportional to 993,918 and 1,324,209

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Solution

The third proportional to 993,918 and 1,324,209 is: 1,764,259.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,918 : 1,324,209 = 1,324,209 : x
  2. Step 2: Convert to fraction form
    993,918/1,324,209 = 1,324,209/x
  3. Step 3: Cross multiply
    993,918x = 1,324,209 × 1,324,209
  4. Step 4: Simplify right side
    993,918x = 1,753,529,475,681
  5. Step 5: Solve for x
    x = 1,753,529,475,681/993,918
  6. Step 6: Final answer
    x = 1,764,259.70

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Why These Related Problems?

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