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Finding the Third Proportional to 1,505,460 and 3,229,224

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Solution

The third proportional to 1,505,460 and 3,229,224 is: 6,926,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505,460 : 3,229,224 = 3,229,224 : x
  2. Step 2: Convert to fraction form
    1,505,460/3,229,224 = 3,229,224/x
  3. Step 3: Cross multiply
    1,505,460x = 3,229,224 × 3,229,224
  4. Step 4: Simplify right side
    1,505,460x = 10,427,887,642,176
  5. Step 5: Solve for x
    x = 10,427,887,642,176/1,505,460
  6. Step 6: Final answer
    x = 6,926,711.86

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