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Finding the Third Proportional to 1,197,208.69 and 2,660,137.45

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Solution

The third proportional to 1,197,208.69 and 2,660,137.45 is: 5,910,691.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,208.69 : 2,660,137.45 = 2,660,137.45 : x
  2. Step 2: Convert to fraction form
    1,197,208.69/2,660,137.45 = 2,660,137.45/x
  3. Step 3: Cross multiply
    1,197,208.69x = 2,660,137.45 × 2,660,137.45
  4. Step 4: Simplify right side
    1,197,208.69x = 7,076,331,269,518.36
  5. Step 5: Solve for x
    x = 7,076,331,269,518.36/1,197,208.69
  6. Step 6: Final answer
    x = 5,910,691.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.