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Finding the Third Proportional to 622,988 and 946,794

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Solution

The third proportional to 622,988 and 946,794 is: 1,438,902.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,988 : 946,794 = 946,794 : x
  2. Step 2: Convert to fraction form
    622,988/946,794 = 946,794/x
  3. Step 3: Cross multiply
    622,988x = 946,794 × 946,794
  4. Step 4: Simplify right side
    622,988x = 896,418,878,436
  5. Step 5: Solve for x
    x = 896,418,878,436/622,988
  6. Step 6: Final answer
    x = 1,438,902.32

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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.