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Finding the Third Proportional to 512,731 and 1,122,005

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Solution

The third proportional to 512,731 and 1,122,005 is: 2,455,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,731 : 1,122,005 = 1,122,005 : x
  2. Step 2: Convert to fraction form
    512,731/1,122,005 = 1,122,005/x
  3. Step 3: Cross multiply
    512,731x = 1,122,005 × 1,122,005
  4. Step 4: Simplify right side
    512,731x = 1,258,895,220,025
  5. Step 5: Solve for x
    x = 1,258,895,220,025/512,731
  6. Step 6: Final answer
    x = 2,455,274.25

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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.