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Finding the Third Proportional to 591,782 and 837,356

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Solution

The third proportional to 591,782 and 837,356 is: 1,184,836.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,782 : 837,356 = 837,356 : x
  2. Step 2: Convert to fraction form
    591,782/837,356 = 837,356/x
  3. Step 3: Cross multiply
    591,782x = 837,356 × 837,356
  4. Step 4: Simplify right side
    591,782x = 701,165,070,736
  5. Step 5: Solve for x
    x = 701,165,070,736/591,782
  6. Step 6: Final answer
    x = 1,184,836.77

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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.