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Finding the Third Proportional to 792,948 and 1,276,767

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Solution

The third proportional to 792,948 and 1,276,767 is: 2,055,789.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,948 : 1,276,767 = 1,276,767 : x
  2. Step 2: Convert to fraction form
    792,948/1,276,767 = 1,276,767/x
  3. Step 3: Cross multiply
    792,948x = 1,276,767 × 1,276,767
  4. Step 4: Simplify right side
    792,948x = 1,630,133,972,289
  5. Step 5: Solve for x
    x = 1,630,133,972,289/792,948
  6. Step 6: Final answer
    x = 2,055,789.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.