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Finding the Third Proportional to 547,240,665 and 1,203,928,386

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Solution

The third proportional to 547,240,665 and 1,203,928,386 is: 2,648,640,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,240,665 : 1,203,928,386 = 1,203,928,386 : x
  2. Step 2: Convert to fraction form
    547,240,665/1,203,928,386 = 1,203,928,386/x
  3. Step 3: Cross multiply
    547,240,665x = 1,203,928,386 × 1,203,928,386
  4. Step 4: Simplify right side
    547,240,665x = 1,449,443,558,616,564,992
  5. Step 5: Solve for x
    x = 1,449,443,558,616,564,992/547,240,665
  6. Step 6: Final answer
    x = 2,648,640,079.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.