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Finding the Third Proportional to 1,530,956 and 2,252,142

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Solution

The third proportional to 1,530,956 and 2,252,142 is: 3,313,056.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530,956 : 2,252,142 = 2,252,142 : x
  2. Step 2: Convert to fraction form
    1,530,956/2,252,142 = 2,252,142/x
  3. Step 3: Cross multiply
    1,530,956x = 2,252,142 × 2,252,142
  4. Step 4: Simplify right side
    1,530,956x = 5,072,143,588,164
  5. Step 5: Solve for x
    x = 5,072,143,588,164/1,530,956
  6. Step 6: Final answer
    x = 3,313,056.41

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.