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Finding the Third Proportional to 792,962 and 1,276,786

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Solution

The third proportional to 792,962 and 1,276,786 is: 2,055,814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,962 : 1,276,786 = 1,276,786 : x
  2. Step 2: Convert to fraction form
    792,962/1,276,786 = 1,276,786/x
  3. Step 3: Cross multiply
    792,962x = 1,276,786 × 1,276,786
  4. Step 4: Simplify right side
    792,962x = 1,630,182,489,796
  5. Step 5: Solve for x
    x = 1,630,182,489,796/792,962
  6. Step 6: Final answer
    x = 2,055,814.14

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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.