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Finding the Third Proportional to 683,822 and 922,212

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Solution

The third proportional to 683,822 and 922,212 is: 1,243,708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,822 : 922,212 = 922,212 : x
  2. Step 2: Convert to fraction form
    683,822/922,212 = 922,212/x
  3. Step 3: Cross multiply
    683,822x = 922,212 × 922,212
  4. Step 4: Simplify right side
    683,822x = 850,474,972,944
  5. Step 5: Solve for x
    x = 850,474,972,944/683,822
  6. Step 6: Final answer
    x = 1,243,708.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.