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Finding the Third Proportional to 637,824 and 986,976

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Solution

The third proportional to 637,824 and 986,976 is: 1,527,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,824 : 986,976 = 986,976 : x
  2. Step 2: Convert to fraction form
    637,824/986,976 = 986,976/x
  3. Step 3: Cross multiply
    637,824x = 986,976 × 986,976
  4. Step 4: Simplify right side
    637,824x = 974,121,624,576
  5. Step 5: Solve for x
    x = 974,121,624,576/637,824
  6. Step 6: Final answer
    x = 1,527,257.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.