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Finding the Third Proportional to 412,214 and 894,928

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Solution

The third proportional to 412,214 and 894,928 is: 1,942,913.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,214 : 894,928 = 894,928 : x
  2. Step 2: Convert to fraction form
    412,214/894,928 = 894,928/x
  3. Step 3: Cross multiply
    412,214x = 894,928 × 894,928
  4. Step 4: Simplify right side
    412,214x = 800,896,125,184
  5. Step 5: Solve for x
    x = 800,896,125,184/412,214
  6. Step 6: Final answer
    x = 1,942,913.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.