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Finding the Third Proportional to 796,725 and 1,219,320

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Solution

The third proportional to 796,725 and 1,219,320 is: 1,866,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,725 : 1,219,320 = 1,219,320 : x
  2. Step 2: Convert to fraction form
    796,725/1,219,320 = 1,219,320/x
  3. Step 3: Cross multiply
    796,725x = 1,219,320 × 1,219,320
  4. Step 4: Simplify right side
    796,725x = 1,486,741,262,400
  5. Step 5: Solve for x
    x = 1,486,741,262,400/796,725
  6. Step 6: Final answer
    x = 1,866,065.78

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.