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Finding the Third Proportional to 822,864 and 1,234,296

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Solution

The third proportional to 822,864 and 1,234,296 is: 1,851,444

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,864 : 1,234,296 = 1,234,296 : x
  2. Step 2: Convert to fraction form
    822,864/1,234,296 = 1,234,296/x
  3. Step 3: Cross multiply
    822,864x = 1,234,296 × 1,234,296
  4. Step 4: Simplify right side
    822,864x = 1,523,486,615,616
  5. Step 5: Solve for x
    x = 1,523,486,615,616/822,864
  6. Step 6: Final answer
    x = 1,851,444

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.