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Finding the Third Proportional to 622,996 and 946,806

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Solution

The third proportional to 622,996 and 946,806 is: 1,438,920.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,996 : 946,806 = 946,806 : x
  2. Step 2: Convert to fraction form
    622,996/946,806 = 946,806/x
  3. Step 3: Cross multiply
    622,996x = 946,806 × 946,806
  4. Step 4: Simplify right side
    622,996x = 896,441,601,636
  5. Step 5: Solve for x
    x = 896,441,601,636/622,996
  6. Step 6: Final answer
    x = 1,438,920.32

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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.