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Finding the Third Proportional to 591,445 and 836,881

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Solution

The third proportional to 591,445 and 836,881 is: 1,184,167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,445 : 836,881 = 836,881 : x
  2. Step 2: Convert to fraction form
    591,445/836,881 = 836,881/x
  3. Step 3: Cross multiply
    591,445x = 836,881 × 836,881
  4. Step 4: Simplify right side
    591,445x = 700,369,808,161
  5. Step 5: Solve for x
    x = 700,369,808,161/591,445
  6. Step 6: Final answer
    x = 1,184,167.27

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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.