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Finding the Third Proportional to 836,916 and 1,074,582

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Solution

The third proportional to 836,916 and 1,074,582 is: 1,379,739.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,916 : 1,074,582 = 1,074,582 : x
  2. Step 2: Convert to fraction form
    836,916/1,074,582 = 1,074,582/x
  3. Step 3: Cross multiply
    836,916x = 1,074,582 × 1,074,582
  4. Step 4: Simplify right side
    836,916x = 1,154,726,474,724
  5. Step 5: Solve for x
    x = 1,154,726,474,724/836,916
  6. Step 6: Final answer
    x = 1,379,739.99

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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.