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Finding the Third Proportional to 613,524 and 1,256,796

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Solution

The third proportional to 613,524 and 1,256,796 is: 2,574,530.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,524 : 1,256,796 = 1,256,796 : x
  2. Step 2: Convert to fraction form
    613,524/1,256,796 = 1,256,796/x
  3. Step 3: Cross multiply
    613,524x = 1,256,796 × 1,256,796
  4. Step 4: Simplify right side
    613,524x = 1,579,536,185,616
  5. Step 5: Solve for x
    x = 1,579,536,185,616/613,524
  6. Step 6: Final answer
    x = 2,574,530.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.