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Finding the Third Proportional to 778,566 and 1,673,530

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Solution

The third proportional to 778,566 and 1,673,530 is: 3,597,257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,566 : 1,673,530 = 1,673,530 : x
  2. Step 2: Convert to fraction form
    778,566/1,673,530 = 1,673,530/x
  3. Step 3: Cross multiply
    778,566x = 1,673,530 × 1,673,530
  4. Step 4: Simplify right side
    778,566x = 2,800,702,660,900
  5. Step 5: Solve for x
    x = 2,800,702,660,900/778,566
  6. Step 6: Final answer
    x = 3,597,257.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.