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Finding the Third Proportional to 1,491,734 and 3,219,340

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Solution

The third proportional to 1,491,734 and 3,219,340 is: 6,947,719.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491,734 : 3,219,340 = 3,219,340 : x
  2. Step 2: Convert to fraction form
    1,491,734/3,219,340 = 3,219,340/x
  3. Step 3: Cross multiply
    1,491,734x = 3,219,340 × 3,219,340
  4. Step 4: Simplify right side
    1,491,734x = 10,364,150,035,600
  5. Step 5: Solve for x
    x = 10,364,150,035,600/1,491,734
  6. Step 6: Final answer
    x = 6,947,719.93

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