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Finding the Third Proportional to 651,381 and 1,435,278

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Solution

The third proportional to 651,381 and 1,435,278 is: 3,162,546.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,381 : 1,435,278 = 1,435,278 : x
  2. Step 2: Convert to fraction form
    651,381/1,435,278 = 1,435,278/x
  3. Step 3: Cross multiply
    651,381x = 1,435,278 × 1,435,278
  4. Step 4: Simplify right side
    651,381x = 2,060,022,937,284
  5. Step 5: Solve for x
    x = 2,060,022,937,284/651,381
  6. Step 6: Final answer
    x = 3,162,546.86

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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.