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Finding the Third Proportional to 772,782 and 1,182,120

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Solution

The third proportional to 772,782 and 1,182,120 is: 1,808,281.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,782 : 1,182,120 = 1,182,120 : x
  2. Step 2: Convert to fraction form
    772,782/1,182,120 = 1,182,120/x
  3. Step 3: Cross multiply
    772,782x = 1,182,120 × 1,182,120
  4. Step 4: Simplify right side
    772,782x = 1,397,407,694,400
  5. Step 5: Solve for x
    x = 1,397,407,694,400/772,782
  6. Step 6: Final answer
    x = 1,808,281.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.