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Finding the Third Proportional to 454,982 and 984,579

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Solution

The third proportional to 454,982 and 984,579 is: 2,130,624.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,982 : 984,579 = 984,579 : x
  2. Step 2: Convert to fraction form
    454,982/984,579 = 984,579/x
  3. Step 3: Cross multiply
    454,982x = 984,579 × 984,579
  4. Step 4: Simplify right side
    454,982x = 969,395,807,241
  5. Step 5: Solve for x
    x = 969,395,807,241/454,982
  6. Step 6: Final answer
    x = 2,130,624.52

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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.