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Finding the Third Proportional to 2,343,264 and 3,559,824

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Solution

The third proportional to 2,343,264 and 3,559,824 is: 5,407,989.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343,264 : 3,559,824 = 3,559,824 : x
  2. Step 2: Convert to fraction form
    2,343,264/3,559,824 = 3,559,824/x
  3. Step 3: Cross multiply
    2,343,264x = 3,559,824 × 3,559,824
  4. Step 4: Simplify right side
    2,343,264x = 12,672,346,910,976
  5. Step 5: Solve for x
    x = 12,672,346,910,976/2,343,264
  6. Step 6: Final answer
    x = 5,407,989.42

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.