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Finding the Third Proportional to 591,822 and 837,411

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Solution

The third proportional to 591,822 and 837,411 is: 1,184,912.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,822 : 837,411 = 837,411 : x
  2. Step 2: Convert to fraction form
    591,822/837,411 = 837,411/x
  3. Step 3: Cross multiply
    591,822x = 837,411 × 837,411
  4. Step 4: Simplify right side
    591,822x = 701,257,182,921
  5. Step 5: Solve for x
    x = 701,257,182,921/591,822
  6. Step 6: Final answer
    x = 1,184,912.33

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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.