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Finding the Third Proportional to 1,148,187 and 2,471,880

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Solution

The third proportional to 1,148,187 and 2,471,880 is: 5,321,598.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148,187 : 2,471,880 = 2,471,880 : x
  2. Step 2: Convert to fraction form
    1,148,187/2,471,880 = 2,471,880/x
  3. Step 3: Cross multiply
    1,148,187x = 2,471,880 × 2,471,880
  4. Step 4: Simplify right side
    1,148,187x = 6,110,190,734,400
  5. Step 5: Solve for x
    x = 6,110,190,734,400/1,148,187
  6. Step 6: Final answer
    x = 5,321,598.95

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Why These Related Problems?

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