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Finding the Third Proportional to 618,788 and 984,622

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Solution

The third proportional to 618,788 and 984,622 is: 1,566,740.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,788 : 984,622 = 984,622 : x
  2. Step 2: Convert to fraction form
    618,788/984,622 = 984,622/x
  3. Step 3: Cross multiply
    618,788x = 984,622 × 984,622
  4. Step 4: Simplify right side
    618,788x = 969,480,482,884
  5. Step 5: Solve for x
    x = 969,480,482,884/618,788
  6. Step 6: Final answer
    x = 1,566,740.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.