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Finding the Third Proportional to 476,952 and 984,144

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Solution

The third proportional to 476,952 and 984,144 is: 2,030,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,952 : 984,144 = 984,144 : x
  2. Step 2: Convert to fraction form
    476,952/984,144 = 984,144/x
  3. Step 3: Cross multiply
    476,952x = 984,144 × 984,144
  4. Step 4: Simplify right side
    476,952x = 968,539,412,736
  5. Step 5: Solve for x
    x = 968,539,412,736/476,952
  6. Step 6: Final answer
    x = 2,030,685.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.