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Finding the Third Proportional to 622,998 and 946,812

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Solution

The third proportional to 622,998 and 946,812 is: 1,438,933.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,998 : 946,812 = 946,812 : x
  2. Step 2: Convert to fraction form
    622,998/946,812 = 946,812/x
  3. Step 3: Cross multiply
    622,998x = 946,812 × 946,812
  4. Step 4: Simplify right side
    622,998x = 896,452,963,344
  5. Step 5: Solve for x
    x = 896,452,963,344/622,998
  6. Step 6: Final answer
    x = 1,438,933.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.