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Finding the Third Proportional to 454,980 and 984,575

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Solution

The third proportional to 454,980 and 984,575 is: 2,130,616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,980 : 984,575 = 984,575 : x
  2. Step 2: Convert to fraction form
    454,980/984,575 = 984,575/x
  3. Step 3: Cross multiply
    454,980x = 984,575 × 984,575
  4. Step 4: Simplify right side
    454,980x = 969,387,930,625
  5. Step 5: Solve for x
    x = 969,387,930,625/454,980
  6. Step 6: Final answer
    x = 2,130,616.58

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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.