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Finding the Third Proportional to 1,696,830 and 3,659,337

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Solution

The third proportional to 1,696,830 and 3,659,337 is: 7,891,625.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,830 : 3,659,337 = 3,659,337 : x
  2. Step 2: Convert to fraction form
    1,696,830/3,659,337 = 3,659,337/x
  3. Step 3: Cross multiply
    1,696,830x = 3,659,337 × 3,659,337
  4. Step 4: Simplify right side
    1,696,830x = 13,390,747,279,569
  5. Step 5: Solve for x
    x = 13,390,747,279,569/1,696,830
  6. Step 6: Final answer
    x = 7,891,625.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.