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Finding the Third Proportional to 452,611.13 and 978,725.53

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Solution

The third proportional to 452,611.13 and 978,725.53 is: 2,116,394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,611.13 : 978,725.53 = 978,725.53 : x
  2. Step 2: Convert to fraction form
    452,611.13/978,725.53 = 978,725.53/x
  3. Step 3: Cross multiply
    452,611.13x = 978,725.53 × 978,725.53
  4. Step 4: Simplify right side
    452,611.13x = 957,903,665,520.60
  5. Step 5: Solve for x
    x = 957,903,665,520.60/452,611.13
  6. Step 6: Final answer
    x = 2,116,394.43

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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.