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Finding the Third Proportional to 984,324 and 1,496,396

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Solution

The third proportional to 984,324 and 1,496,396 is: 2,274,861.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,324 : 1,496,396 = 1,496,396 : x
  2. Step 2: Convert to fraction form
    984,324/1,496,396 = 1,496,396/x
  3. Step 3: Cross multiply
    984,324x = 1,496,396 × 1,496,396
  4. Step 4: Simplify right side
    984,324x = 2,239,200,988,816
  5. Step 5: Solve for x
    x = 2,239,200,988,816/984,324
  6. Step 6: Final answer
    x = 2,274,861.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.