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Finding the Third Proportional to 448,094 and 984,532

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Solution

The third proportional to 448,094 and 984,532 is: 2,163,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,094 : 984,532 = 984,532 : x
  2. Step 2: Convert to fraction form
    448,094/984,532 = 984,532/x
  3. Step 3: Cross multiply
    448,094x = 984,532 × 984,532
  4. Step 4: Simplify right side
    448,094x = 969,303,259,024
  5. Step 5: Solve for x
    x = 969,303,259,024/448,094
  6. Step 6: Final answer
    x = 2,163,169.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.