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Finding the Third Proportional to 772,788.94 and 1,674,286.88

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Solution

The third proportional to 772,788.94 and 1,674,286.88 is: 3,627,428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,788.94 : 1,674,286.88 = 1,674,286.88 : x
  2. Step 2: Convert to fraction form
    772,788.94/1,674,286.88 = 1,674,286.88/x
  3. Step 3: Cross multiply
    772,788.94x = 1,674,286.88 × 1,674,286.88
  4. Step 4: Simplify right side
    772,788.94x = 2,803,236,539,797.27
  5. Step 5: Solve for x
    x = 2,803,236,539,797.27/772,788.94
  6. Step 6: Final answer
    x = 3,627,428.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.