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Finding the Third Proportional to 591,812 and 837,400

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Solution

The third proportional to 591,812 and 837,400 is: 1,184,901.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,812 : 837,400 = 837,400 : x
  2. Step 2: Convert to fraction form
    591,812/837,400 = 837,400/x
  3. Step 3: Cross multiply
    591,812x = 837,400 × 837,400
  4. Step 4: Simplify right side
    591,812x = 701,238,760,000
  5. Step 5: Solve for x
    x = 701,238,760,000/591,812
  6. Step 6: Final answer
    x = 1,184,901.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.