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Finding the Third Proportional to 654,306 and 984,735

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Solution

The third proportional to 654,306 and 984,735 is: 1,482,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,306 : 984,735 = 984,735 : x
  2. Step 2: Convert to fraction form
    654,306/984,735 = 984,735/x
  3. Step 3: Cross multiply
    654,306x = 984,735 × 984,735
  4. Step 4: Simplify right side
    654,306x = 969,703,020,225
  5. Step 5: Solve for x
    x = 969,703,020,225/654,306
  6. Step 6: Final answer
    x = 1,482,032.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.