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Finding the Third Proportional to 819,622 and 1,679,708

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Solution

The third proportional to 819,622 and 1,679,708 is: 3,442,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,622 : 1,679,708 = 1,679,708 : x
  2. Step 2: Convert to fraction form
    819,622/1,679,708 = 1,679,708/x
  3. Step 3: Cross multiply
    819,622x = 1,679,708 × 1,679,708
  4. Step 4: Simplify right side
    819,622x = 2,821,418,965,264
  5. Step 5: Solve for x
    x = 2,821,418,965,264/819,622
  6. Step 6: Final answer
    x = 3,442,341.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.