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Finding the Third Proportional to 1,277,729.44 and 2,732,740.03

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Solution

The third proportional to 1,277,729.44 and 2,732,740.03 is: 5,844,639.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,729.44 : 2,732,740.03 = 2,732,740.03 : x
  2. Step 2: Convert to fraction form
    1,277,729.44/2,732,740.03 = 2,732,740.03/x
  3. Step 3: Cross multiply
    1,277,729.44x = 2,732,740.03 × 2,732,740.03
  4. Step 4: Simplify right side
    1,277,729.44x = 7,467,868,078,396.25
  5. Step 5: Solve for x
    x = 7,467,868,078,396.25/1,277,729.44
  6. Step 6: Final answer
    x = 5,844,639.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.