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Finding the Third Proportional to 493,824 and 1,062,588

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Solution

The third proportional to 493,824 and 1,062,588 is: 2,286,428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,824 : 1,062,588 = 1,062,588 : x
  2. Step 2: Convert to fraction form
    493,824/1,062,588 = 1,062,588/x
  3. Step 3: Cross multiply
    493,824x = 1,062,588 × 1,062,588
  4. Step 4: Simplify right side
    493,824x = 1,129,093,257,744
  5. Step 5: Solve for x
    x = 1,129,093,257,744/493,824
  6. Step 6: Final answer
    x = 2,286,428.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.