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Finding the Third Proportional to 1,581,876 and 3,387,960

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Solution

The third proportional to 1,581,876 and 3,387,960 is: 7,256,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,876 : 3,387,960 = 3,387,960 : x
  2. Step 2: Convert to fraction form
    1,581,876/3,387,960 = 3,387,960/x
  3. Step 3: Cross multiply
    1,581,876x = 3,387,960 × 3,387,960
  4. Step 4: Simplify right side
    1,581,876x = 11,478,272,961,600
  5. Step 5: Solve for x
    x = 11,478,272,961,600/1,581,876
  6. Step 6: Final answer
    x = 7,256,114.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.