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Finding the Third Proportional to 831,981.38 and 1,188,923.06

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Solution

The third proportional to 831,981.38 and 1,188,923.06 is: 1,699,002.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,981.38 : 1,188,923.06 = 1,188,923.06 : x
  2. Step 2: Convert to fraction form
    831,981.38/1,188,923.06 = 1,188,923.06/x
  3. Step 3: Cross multiply
    831,981.38x = 1,188,923.06 × 1,188,923.06
  4. Step 4: Simplify right side
    831,981.38x = 1,413,538,048,544.38
  5. Step 5: Solve for x
    x = 1,413,538,048,544.38/831,981.38
  6. Step 6: Final answer
    x = 1,699,002.03

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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.