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Finding the Third Proportional to 1,102,755.66 and 2,388,713.20

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Solution

The third proportional to 1,102,755.66 and 2,388,713.20 is: 5,174,265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,755.66 : 2,388,713.20 = 2,388,713.20 : x
  2. Step 2: Convert to fraction form
    1,102,755.66/2,388,713.20 = 2,388,713.20/x
  3. Step 3: Cross multiply
    1,102,755.66x = 2,388,713.20 × 2,388,713.20
  4. Step 4: Simplify right side
    1,102,755.66x = 5,705,950,766,783.70
  5. Step 5: Solve for x
    x = 5,705,950,766,783.70/1,102,755.66
  6. Step 6: Final answer
    x = 5,174,265.70

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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.