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Finding the Third Proportional to 792,958 and 1,276,780

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Solution

The third proportional to 792,958 and 1,276,780 is: 2,055,805.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,958 : 1,276,780 = 1,276,780 : x
  2. Step 2: Convert to fraction form
    792,958/1,276,780 = 1,276,780/x
  3. Step 3: Cross multiply
    792,958x = 1,276,780 × 1,276,780
  4. Step 4: Simplify right side
    792,958x = 1,630,167,168,400
  5. Step 5: Solve for x
    x = 1,630,167,168,400/792,958
  6. Step 6: Final answer
    x = 2,055,805.19

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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.