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Finding the Third Proportional to 813,964 and 1,245,234

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Solution

The third proportional to 813,964 and 1,245,234 is: 1,905,007.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,964 : 1,245,234 = 1,245,234 : x
  2. Step 2: Convert to fraction form
    813,964/1,245,234 = 1,245,234/x
  3. Step 3: Cross multiply
    813,964x = 1,245,234 × 1,245,234
  4. Step 4: Simplify right side
    813,964x = 1,550,607,714,756
  5. Step 5: Solve for x
    x = 1,550,607,714,756/813,964
  6. Step 6: Final answer
    x = 1,905,007.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.