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Finding the Third Proportional to 591,828 and 837,424

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Solution

The third proportional to 591,828 and 837,424 is: 1,184,937.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,828 : 837,424 = 837,424 : x
  2. Step 2: Convert to fraction form
    591,828/837,424 = 837,424/x
  3. Step 3: Cross multiply
    591,828x = 837,424 × 837,424
  4. Step 4: Simplify right side
    591,828x = 701,278,955,776
  5. Step 5: Solve for x
    x = 701,278,955,776/591,828
  6. Step 6: Final answer
    x = 1,184,937.10

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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.