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Finding the Third Proportional to 778,524 and 1,689,969

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Solution

The third proportional to 778,524 and 1,689,969 is: 3,668,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,524 : 1,689,969 = 1,689,969 : x
  2. Step 2: Convert to fraction form
    778,524/1,689,969 = 1,689,969/x
  3. Step 3: Cross multiply
    778,524x = 1,689,969 × 1,689,969
  4. Step 4: Simplify right side
    778,524x = 2,855,995,220,961
  5. Step 5: Solve for x
    x = 2,855,995,220,961/778,524
  6. Step 6: Final answer
    x = 3,668,474.22

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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.