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Finding the Third Proportional to 476,749 and 1,044,542

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Solution

The third proportional to 476,749 and 1,044,542 is: 2,288,558.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,749 : 1,044,542 = 1,044,542 : x
  2. Step 2: Convert to fraction form
    476,749/1,044,542 = 1,044,542/x
  3. Step 3: Cross multiply
    476,749x = 1,044,542 × 1,044,542
  4. Step 4: Simplify right side
    476,749x = 1,091,067,989,764
  5. Step 5: Solve for x
    x = 1,091,067,989,764/476,749
  6. Step 6: Final answer
    x = 2,288,558.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.