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Finding the Third Proportional to 471,512 and 1,018,324

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Solution

The third proportional to 471,512 and 1,018,324 is: 2,199,273.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,512 : 1,018,324 = 1,018,324 : x
  2. Step 2: Convert to fraction form
    471,512/1,018,324 = 1,018,324/x
  3. Step 3: Cross multiply
    471,512x = 1,018,324 × 1,018,324
  4. Step 4: Simplify right side
    471,512x = 1,036,983,768,976
  5. Step 5: Solve for x
    x = 1,036,983,768,976/471,512
  6. Step 6: Final answer
    x = 2,199,273.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.