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Finding the Third Proportional to 412,738 and 894,174

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Solution

The third proportional to 412,738 and 894,174 is: 1,937,178.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,738 : 894,174 = 894,174 : x
  2. Step 2: Convert to fraction form
    412,738/894,174 = 894,174/x
  3. Step 3: Cross multiply
    412,738x = 894,174 × 894,174
  4. Step 4: Simplify right side
    412,738x = 799,547,142,276
  5. Step 5: Solve for x
    x = 799,547,142,276/412,738
  6. Step 6: Final answer
    x = 1,937,178.41

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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.