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Finding the Third Proportional to 778,810 and 1,690,481

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Solution

The third proportional to 778,810 and 1,690,481 is: 3,669,349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,810 : 1,690,481 = 1,690,481 : x
  2. Step 2: Convert to fraction form
    778,810/1,690,481 = 1,690,481/x
  3. Step 3: Cross multiply
    778,810x = 1,690,481 × 1,690,481
  4. Step 4: Simplify right side
    778,810x = 2,857,726,011,361
  5. Step 5: Solve for x
    x = 2,857,726,011,361/778,810
  6. Step 6: Final answer
    x = 3,669,349.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.