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Finding the Third Proportional to 454,972 and 984,559

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Solution

The third proportional to 454,972 and 984,559 is: 2,130,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,972 : 984,559 = 984,559 : x
  2. Step 2: Convert to fraction form
    454,972/984,559 = 984,559/x
  3. Step 3: Cross multiply
    454,972x = 984,559 × 984,559
  4. Step 4: Simplify right side
    454,972x = 969,356,424,481
  5. Step 5: Solve for x
    x = 969,356,424,481/454,972
  6. Step 6: Final answer
    x = 2,130,584.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.