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Finding the Third Proportional to 1,691,625 and 3,663,731

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Solution

The third proportional to 1,691,625 and 3,663,731 is: 7,934,929.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,625 : 3,663,731 = 3,663,731 : x
  2. Step 2: Convert to fraction form
    1,691,625/3,663,731 = 3,663,731/x
  3. Step 3: Cross multiply
    1,691,625x = 3,663,731 × 3,663,731
  4. Step 4: Simplify right side
    1,691,625x = 13,422,924,840,361
  5. Step 5: Solve for x
    x = 13,422,924,840,361/1,691,625
  6. Step 6: Final answer
    x = 7,934,929.34

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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.