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Finding the Third Proportional to 523,753 and 836,822

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Solution

The third proportional to 523,753 and 836,822 is: 1,337,025.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,753 : 836,822 = 836,822 : x
  2. Step 2: Convert to fraction form
    523,753/836,822 = 836,822/x
  3. Step 3: Cross multiply
    523,753x = 836,822 × 836,822
  4. Step 4: Simplify right side
    523,753x = 700,271,059,684
  5. Step 5: Solve for x
    x = 700,271,059,684/523,753
  6. Step 6: Final answer
    x = 1,337,025.39

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.