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Finding the Third Proportional to 618,837 and 984,639

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Solution

The third proportional to 618,837 and 984,639 is: 1,566,670.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,837 : 984,639 = 984,639 : x
  2. Step 2: Convert to fraction form
    618,837/984,639 = 984,639/x
  3. Step 3: Cross multiply
    618,837x = 984,639 × 984,639
  4. Step 4: Simplify right side
    618,837x = 969,513,960,321
  5. Step 5: Solve for x
    x = 969,513,960,321/618,837
  6. Step 6: Final answer
    x = 1,566,670.97

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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.