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Finding the Third Proportional to 1,157,013 and 2,491,827

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Solution

The third proportional to 1,157,013 and 2,491,827 is: 5,366,579.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,013 : 2,491,827 = 2,491,827 : x
  2. Step 2: Convert to fraction form
    1,157,013/2,491,827 = 2,491,827/x
  3. Step 3: Cross multiply
    1,157,013x = 2,491,827 × 2,491,827
  4. Step 4: Simplify right side
    1,157,013x = 6,209,201,797,929
  5. Step 5: Solve for x
    x = 6,209,201,797,929/1,157,013
  6. Step 6: Final answer
    x = 5,366,579.11

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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.