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Finding the Third Proportional to 670,732 and 996,980

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Solution

The third proportional to 670,732 and 996,980 is: 1,481,916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,732 : 996,980 = 996,980 : x
  2. Step 2: Convert to fraction form
    670,732/996,980 = 996,980/x
  3. Step 3: Cross multiply
    670,732x = 996,980 × 996,980
  4. Step 4: Simplify right side
    670,732x = 993,969,120,400
  5. Step 5: Solve for x
    x = 993,969,120,400/670,732
  6. Step 6: Final answer
    x = 1,481,916.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.