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Finding the Third Proportional to 817,992 and 1,263,468

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Solution

The third proportional to 817,992 and 1,263,468 is: 1,951,548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,992 : 1,263,468 = 1,263,468 : x
  2. Step 2: Convert to fraction form
    817,992/1,263,468 = 1,263,468/x
  3. Step 3: Cross multiply
    817,992x = 1,263,468 × 1,263,468
  4. Step 4: Simplify right side
    817,992x = 1,596,351,387,024
  5. Step 5: Solve for x
    x = 1,596,351,387,024/817,992
  6. Step 6: Final answer
    x = 1,951,548.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.