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Finding the Third Proportional to 448,611 and 984,411

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Solution

The third proportional to 448,611 and 984,411 is: 2,160,145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,611 : 984,411 = 984,411 : x
  2. Step 2: Convert to fraction form
    448,611/984,411 = 984,411/x
  3. Step 3: Cross multiply
    448,611x = 984,411 × 984,411
  4. Step 4: Simplify right side
    448,611x = 969,065,016,921
  5. Step 5: Solve for x
    x = 969,065,016,921/448,611
  6. Step 6: Final answer
    x = 2,160,145.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.