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Finding the Third Proportional to 784,844 and 1,183,018

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Solution

The third proportional to 784,844 and 1,183,018 is: 1,783,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,844 : 1,183,018 = 1,183,018 : x
  2. Step 2: Convert to fraction form
    784,844/1,183,018 = 1,183,018/x
  3. Step 3: Cross multiply
    784,844x = 1,183,018 × 1,183,018
  4. Step 4: Simplify right side
    784,844x = 1,399,531,588,324
  5. Step 5: Solve for x
    x = 1,399,531,588,324/784,844
  6. Step 6: Final answer
    x = 1,783,197.16

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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.