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Finding the Third Proportional to 1,149,415 and 2,497,788

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Solution

The third proportional to 1,149,415 and 2,497,788 is: 5,427,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,415 : 2,497,788 = 2,497,788 : x
  2. Step 2: Convert to fraction form
    1,149,415/2,497,788 = 2,497,788/x
  3. Step 3: Cross multiply
    1,149,415x = 2,497,788 × 2,497,788
  4. Step 4: Simplify right side
    1,149,415x = 6,238,944,892,944
  5. Step 5: Solve for x
    x = 6,238,944,892,944/1,149,415
  6. Step 6: Final answer
    x = 5,427,930.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.