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Finding the Third Proportional to 494,784 and 1,079,424

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Solution

The third proportional to 494,784 and 1,079,424 is: 2,354,878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,784 : 1,079,424 = 1,079,424 : x
  2. Step 2: Convert to fraction form
    494,784/1,079,424 = 1,079,424/x
  3. Step 3: Cross multiply
    494,784x = 1,079,424 × 1,079,424
  4. Step 4: Simplify right side
    494,784x = 1,165,156,171,776
  5. Step 5: Solve for x
    x = 1,165,156,171,776/494,784
  6. Step 6: Final answer
    x = 2,354,878.44

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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.