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Finding the Third Proportional to 511,894 and 1,102,276

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Solution

The third proportional to 511,894 and 1,102,276 is: 2,373,562.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,894 : 1,102,276 = 1,102,276 : x
  2. Step 2: Convert to fraction form
    511,894/1,102,276 = 1,102,276/x
  3. Step 3: Cross multiply
    511,894x = 1,102,276 × 1,102,276
  4. Step 4: Simplify right side
    511,894x = 1,215,012,380,176
  5. Step 5: Solve for x
    x = 1,215,012,380,176/511,894
  6. Step 6: Final answer
    x = 2,373,562.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.