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Finding the Third Proportional to 1,347,081 and 2,880,948

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Solution

The third proportional to 1,347,081 and 2,880,948 is: 6,161,367.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347,081 : 2,880,948 = 2,880,948 : x
  2. Step 2: Convert to fraction form
    1,347,081/2,880,948 = 2,880,948/x
  3. Step 3: Cross multiply
    1,347,081x = 2,880,948 × 2,880,948
  4. Step 4: Simplify right side
    1,347,081x = 8,299,861,378,704
  5. Step 5: Solve for x
    x = 8,299,861,378,704/1,347,081
  6. Step 6: Final answer
    x = 6,161,367.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.