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Finding the Third Proportional to 784,846 and 1,183,021

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Solution

The third proportional to 784,846 and 1,183,021 is: 1,783,201.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,846 : 1,183,021 = 1,183,021 : x
  2. Step 2: Convert to fraction form
    784,846/1,183,021 = 1,183,021/x
  3. Step 3: Cross multiply
    784,846x = 1,183,021 × 1,183,021
  4. Step 4: Simplify right side
    784,846x = 1,399,538,686,441
  5. Step 5: Solve for x
    x = 1,399,538,686,441/784,846
  6. Step 6: Final answer
    x = 1,783,201.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.