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Finding the Third Proportional to 1,560,799,200 and 2,125,904,040

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Solution

The third proportional to 1,560,799,200 and 2,125,904,040 is: 2,895,611,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560,799,200 : 2,125,904,040 = 2,125,904,040 : x
  2. Step 2: Convert to fraction form
    1,560,799,200/2,125,904,040 = 2,125,904,040/x
  3. Step 3: Cross multiply
    1,560,799,200x = 2,125,904,040 × 2,125,904,040
  4. Step 4: Simplify right side
    1,560,799,200x = 4,519,467,987,288,321,536
  5. Step 5: Solve for x
    x = 4,519,467,987,288,321,536/1,560,799,200
  6. Step 6: Final answer
    x = 2,895,611,419.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.