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Finding the Third Proportional to 412,285.78 and 886,901.06

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Solution

The third proportional to 412,285.78 and 886,901.06 is: 1,907,884.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,285.78 : 886,901.06 = 886,901.06 : x
  2. Step 2: Convert to fraction form
    412,285.78/886,901.06 = 886,901.06/x
  3. Step 3: Cross multiply
    412,285.78x = 886,901.06 × 886,901.06
  4. Step 4: Simplify right side
    412,285.78x = 786,593,494,663.63
  5. Step 5: Solve for x
    x = 786,593,494,663.63/412,285.78
  6. Step 6: Final answer
    x = 1,907,884.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.