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Finding the Third Proportional to 423,178 and 922,324

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Solution

The third proportional to 423,178 and 922,324 is: 2,010,221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,178 : 922,324 = 922,324 : x
  2. Step 2: Convert to fraction form
    423,178/922,324 = 922,324/x
  3. Step 3: Cross multiply
    423,178x = 922,324 × 922,324
  4. Step 4: Simplify right side
    423,178x = 850,681,560,976
  5. Step 5: Solve for x
    x = 850,681,560,976/423,178
  6. Step 6: Final answer
    x = 2,010,221.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.