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Finding the Third Proportional to 651,364 and 1,435,247

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Solution

The third proportional to 651,364 and 1,435,247 is: 3,162,492.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,364 : 1,435,247 = 1,435,247 : x
  2. Step 2: Convert to fraction form
    651,364/1,435,247 = 1,435,247/x
  3. Step 3: Cross multiply
    651,364x = 1,435,247 × 1,435,247
  4. Step 4: Simplify right side
    651,364x = 2,059,933,951,009
  5. Step 5: Solve for x
    x = 2,059,933,951,009/651,364
  6. Step 6: Final answer
    x = 3,162,492.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.