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Finding the Third Proportional to 772,392 and 1,615,404

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Solution

The third proportional to 772,392 and 1,615,404 is: 3,378,504.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,392 : 1,615,404 = 1,615,404 : x
  2. Step 2: Convert to fraction form
    772,392/1,615,404 = 1,615,404/x
  3. Step 3: Cross multiply
    772,392x = 1,615,404 × 1,615,404
  4. Step 4: Simplify right side
    772,392x = 2,609,530,083,216
  5. Step 5: Solve for x
    x = 2,609,530,083,216/772,392
  6. Step 6: Final answer
    x = 3,378,504.80

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.