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Finding the Third Proportional to 772,845 and 1,693,314

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Solution

The third proportional to 772,845 and 1,693,314 is: 3,710,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,845 : 1,693,314 = 1,693,314 : x
  2. Step 2: Convert to fraction form
    772,845/1,693,314 = 1,693,314/x
  3. Step 3: Cross multiply
    772,845x = 1,693,314 × 1,693,314
  4. Step 4: Simplify right side
    772,845x = 2,867,312,302,596
  5. Step 5: Solve for x
    x = 2,867,312,302,596/772,845
  6. Step 6: Final answer
    x = 3,710,074.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.