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Finding the Third Proportional to 772,730 and 1,682,744

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Solution

The third proportional to 772,730 and 1,682,744 is: 3,664,446.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,730 : 1,682,744 = 1,682,744 : x
  2. Step 2: Convert to fraction form
    772,730/1,682,744 = 1,682,744/x
  3. Step 3: Cross multiply
    772,730x = 1,682,744 × 1,682,744
  4. Step 4: Simplify right side
    772,730x = 2,831,627,369,536
  5. Step 5: Solve for x
    x = 2,831,627,369,536/772,730
  6. Step 6: Final answer
    x = 3,664,446.02

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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.