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Finding the Third Proportional to 709,977.66 and 1,540,331.44

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Solution

The third proportional to 709,977.66 and 1,540,331.44 is: 3,341,824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,977.66 : 1,540,331.44 = 1,540,331.44 : x
  2. Step 2: Convert to fraction form
    709,977.66/1,540,331.44 = 1,540,331.44/x
  3. Step 3: Cross multiply
    709,977.66x = 1,540,331.44 × 1,540,331.44
  4. Step 4: Simplify right side
    709,977.66x = 2,372,620,937,350.82
  5. Step 5: Solve for x
    x = 2,372,620,937,350.82/709,977.66
  6. Step 6: Final answer
    x = 3,341,824.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.