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Finding the Third Proportional to 772,360.31 and 1,682,028

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Solution

The third proportional to 772,360.31 and 1,682,028 is: 3,663,080.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,360.31 : 1,682,028 = 1,682,028 : x
  2. Step 2: Convert to fraction form
    772,360.31/1,682,028 = 1,682,028/x
  3. Step 3: Cross multiply
    772,360.31x = 1,682,028 × 1,682,028
  4. Step 4: Simplify right side
    772,360.31x = 2,829,218,192,784
  5. Step 5: Solve for x
    x = 2,829,218,192,784/772,360.31
  6. Step 6: Final answer
    x = 3,663,080.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.