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Finding the Third Proportional to 994,498 and 2,177,084

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Solution

The third proportional to 994,498 and 2,177,084 is: 4,765,916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    994,498 : 2,177,084 = 2,177,084 : x
  2. Step 2: Convert to fraction form
    994,498/2,177,084 = 2,177,084/x
  3. Step 3: Cross multiply
    994,498x = 2,177,084 × 2,177,084
  4. Step 4: Simplify right side
    994,498x = 4,739,694,743,056
  5. Step 5: Solve for x
    x = 4,739,694,743,056/994,498
  6. Step 6: Final answer
    x = 4,765,916.82

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Why These Related Problems?

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