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Finding the Third Proportional to 467,718 and 1,022,916

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Solution

The third proportional to 467,718 and 1,022,916 is: 2,237,153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,718 : 1,022,916 = 1,022,916 : x
  2. Step 2: Convert to fraction form
    467,718/1,022,916 = 1,022,916/x
  3. Step 3: Cross multiply
    467,718x = 1,022,916 × 1,022,916
  4. Step 4: Simplify right side
    467,718x = 1,046,357,143,056
  5. Step 5: Solve for x
    x = 1,046,357,143,056/467,718
  6. Step 6: Final answer
    x = 2,237,153.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.