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Finding the Third Proportional to 670,734 and 996,983

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Solution

The third proportional to 670,734 and 996,983 is: 1,481,921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,734 : 996,983 = 996,983 : x
  2. Step 2: Convert to fraction form
    670,734/996,983 = 996,983/x
  3. Step 3: Cross multiply
    670,734x = 996,983 × 996,983
  4. Step 4: Simplify right side
    670,734x = 993,975,102,289
  5. Step 5: Solve for x
    x = 993,975,102,289/670,734
  6. Step 6: Final answer
    x = 1,481,921.45

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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.