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Finding the Third Proportional to 813,592 and 1,203,772

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Solution

The third proportional to 813,592 and 1,203,772 is: 1,781,073.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,592 : 1,203,772 = 1,203,772 : x
  2. Step 2: Convert to fraction form
    813,592/1,203,772 = 1,203,772/x
  3. Step 3: Cross multiply
    813,592x = 1,203,772 × 1,203,772
  4. Step 4: Simplify right side
    813,592x = 1,449,067,027,984
  5. Step 5: Solve for x
    x = 1,449,067,027,984/813,592
  6. Step 6: Final answer
    x = 1,781,073.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.