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Finding the Third Proportional to 667,036 and 1,460,564

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Solution

The third proportional to 667,036 and 1,460,564 is: 3,198,099.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,036 : 1,460,564 = 1,460,564 : x
  2. Step 2: Convert to fraction form
    667,036/1,460,564 = 1,460,564/x
  3. Step 3: Cross multiply
    667,036x = 1,460,564 × 1,460,564
  4. Step 4: Simplify right side
    667,036x = 2,133,247,198,096
  5. Step 5: Solve for x
    x = 2,133,247,198,096/667,036
  6. Step 6: Final answer
    x = 3,198,099.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.