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Finding the Third Proportional to 523,564 and 1,139,824

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Solution

The third proportional to 523,564 and 1,139,824 is: 2,481,451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,564 : 1,139,824 = 1,139,824 : x
  2. Step 2: Convert to fraction form
    523,564/1,139,824 = 1,139,824/x
  3. Step 3: Cross multiply
    523,564x = 1,139,824 × 1,139,824
  4. Step 4: Simplify right side
    523,564x = 1,299,198,750,976
  5. Step 5: Solve for x
    x = 1,299,198,750,976/523,564
  6. Step 6: Final answer
    x = 2,481,451.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.