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Finding the Third Proportional to 1,447,661.25 and 2,858,989.50

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Solution

The third proportional to 1,447,661.25 and 2,858,989.50 is: 5,646,224.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447,661.25 : 2,858,989.50 = 2,858,989.50 : x
  2. Step 2: Convert to fraction form
    1,447,661.25/2,858,989.50 = 2,858,989.50/x
  3. Step 3: Cross multiply
    1,447,661.25x = 2,858,989.50 × 2,858,989.50
  4. Step 4: Simplify right side
    1,447,661.25x = 8,173,820,961,110.25
  5. Step 5: Solve for x
    x = 8,173,820,961,110.25/1,447,661.25
  6. Step 6: Final answer
    x = 5,646,224.88

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.