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Finding the Third Proportional to 772,836 and 1,693,296

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Solution

The third proportional to 772,836 and 1,693,296 is: 3,710,038.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,836 : 1,693,296 = 1,693,296 : x
  2. Step 2: Convert to fraction form
    772,836/1,693,296 = 1,693,296/x
  3. Step 3: Cross multiply
    772,836x = 1,693,296 × 1,693,296
  4. Step 4: Simplify right side
    772,836x = 2,867,251,343,616
  5. Step 5: Solve for x
    x = 2,867,251,343,616/772,836
  6. Step 6: Final answer
    x = 3,710,038.54

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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.