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Finding the Third Proportional to 1,140,439.50 and 1,594,401

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Solution

The third proportional to 1,140,439.50 and 1,594,401 is: 2,229,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,439.50 : 1,594,401 = 1,594,401 : x
  2. Step 2: Convert to fraction form
    1,140,439.50/1,594,401 = 1,594,401/x
  3. Step 3: Cross multiply
    1,140,439.50x = 1,594,401 × 1,594,401
  4. Step 4: Simplify right side
    1,140,439.50x = 2,542,114,548,801
  5. Step 5: Solve for x
    x = 2,542,114,548,801/1,140,439.50
  6. Step 6: Final answer
    x = 2,229,065.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.