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Finding the Third Proportional to 670,719 and 996,966

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Solution

The third proportional to 670,719 and 996,966 is: 1,481,904.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,719 : 996,966 = 996,966 : x
  2. Step 2: Convert to fraction form
    670,719/996,966 = 996,966/x
  3. Step 3: Cross multiply
    670,719x = 996,966 × 996,966
  4. Step 4: Simplify right side
    670,719x = 993,941,205,156
  5. Step 5: Solve for x
    x = 993,941,205,156/670,719
  6. Step 6: Final answer
    x = 1,481,904.05

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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.