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Finding the Third Proportional to 923,591.25 and 1,984,720.50

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Solution

The third proportional to 923,591.25 and 1,984,720.50 is: 4,264,998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,591.25 : 1,984,720.50 = 1,984,720.50 : x
  2. Step 2: Convert to fraction form
    923,591.25/1,984,720.50 = 1,984,720.50/x
  3. Step 3: Cross multiply
    923,591.25x = 1,984,720.50 × 1,984,720.50
  4. Step 4: Simplify right side
    923,591.25x = 3,939,115,463,120.25
  5. Step 5: Solve for x
    x = 3,939,115,463,120.25/923,591.25
  6. Step 6: Final answer
    x = 4,264,998.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.