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Finding the Third Proportional to 494,882 and 1,078,084

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Solution

The third proportional to 494,882 and 1,078,084 is: 2,348,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,882 : 1,078,084 = 1,078,084 : x
  2. Step 2: Convert to fraction form
    494,882/1,078,084 = 1,078,084/x
  3. Step 3: Cross multiply
    494,882x = 1,078,084 × 1,078,084
  4. Step 4: Simplify right side
    494,882x = 1,162,265,111,056
  5. Step 5: Solve for x
    x = 1,162,265,111,056/494,882
  6. Step 6: Final answer
    x = 2,348,570.19

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Why These Related Problems?

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