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Finding the Third Proportional to 547,612.84 and 1,198,292.33

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Solution

The third proportional to 547,612.84 and 1,198,292.33 is: 2,622,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,612.84 : 1,198,292.33 = 1,198,292.33 : x
  2. Step 2: Convert to fraction form
    547,612.84/1,198,292.33 = 1,198,292.33/x
  3. Step 3: Cross multiply
    547,612.84x = 1,198,292.33 × 1,198,292.33
  4. Step 4: Simplify right side
    547,612.84x = 1,435,904,498,962.46
  5. Step 5: Solve for x
    x = 1,435,904,498,962.46/547,612.84
  6. Step 6: Final answer
    x = 2,622,116.20

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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.