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Finding the Third Proportional to 709,346 and 1,071,375

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Solution

The third proportional to 709,346 and 1,071,375 is: 1,618,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,346 : 1,071,375 = 1,071,375 : x
  2. Step 2: Convert to fraction form
    709,346/1,071,375 = 1,071,375/x
  3. Step 3: Cross multiply
    709,346x = 1,071,375 × 1,071,375
  4. Step 4: Simplify right side
    709,346x = 1,147,844,390,625
  5. Step 5: Solve for x
    x = 1,147,844,390,625/709,346
  6. Step 6: Final answer
    x = 1,618,172.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.