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Finding the Third Proportional to 768,990 and 1,682,730

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Solution

The third proportional to 768,990 and 1,682,730 is: 3,682,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,990 : 1,682,730 = 1,682,730 : x
  2. Step 2: Convert to fraction form
    768,990/1,682,730 = 1,682,730/x
  3. Step 3: Cross multiply
    768,990x = 1,682,730 × 1,682,730
  4. Step 4: Simplify right side
    768,990x = 2,831,580,252,900
  5. Step 5: Solve for x
    x = 2,831,580,252,900/768,990
  6. Step 6: Final answer
    x = 3,682,206.86

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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.