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Finding the Third Proportional to 670,760 and 997,022

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Solution

The third proportional to 670,760 and 997,022 is: 1,481,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,760 : 997,022 = 997,022 : x
  2. Step 2: Convert to fraction form
    670,760/997,022 = 997,022/x
  3. Step 3: Cross multiply
    670,760x = 997,022 × 997,022
  4. Step 4: Simplify right side
    670,760x = 994,052,868,484
  5. Step 5: Solve for x
    x = 994,052,868,484/670,760
  6. Step 6: Final answer
    x = 1,481,979.95

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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.