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Finding the Third Proportional to 618,747 and 984,557.50

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Solution

The third proportional to 618,747 and 984,557.50 is: 1,566,639.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,747 : 984,557.50 = 984,557.50 : x
  2. Step 2: Convert to fraction form
    618,747/984,557.50 = 984,557.50/x
  3. Step 3: Cross multiply
    618,747x = 984,557.50 × 984,557.50
  4. Step 4: Simplify right side
    618,747x = 969,353,470,806.25
  5. Step 5: Solve for x
    x = 969,353,470,806.25/618,747
  6. Step 6: Final answer
    x = 1,566,639.47

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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.