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Finding the Third Proportional to 836,920 and 1,074,588

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Solution

The third proportional to 836,920 and 1,074,588 is: 1,379,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,920 : 1,074,588 = 1,074,588 : x
  2. Step 2: Convert to fraction form
    836,920/1,074,588 = 1,074,588/x
  3. Step 3: Cross multiply
    836,920x = 1,074,588 × 1,074,588
  4. Step 4: Simplify right side
    836,920x = 1,154,739,369,744
  5. Step 5: Solve for x
    x = 1,154,739,369,744/836,920
  6. Step 6: Final answer
    x = 1,379,748.80

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.