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Finding the Third Proportional to 1,531,720.13 and 3,299,755.85

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Solution

The third proportional to 1,531,720.13 and 3,299,755.85 is: 7,108,601.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531,720.13 : 3,299,755.85 = 3,299,755.85 : x
  2. Step 2: Convert to fraction form
    1,531,720.13/3,299,755.85 = 3,299,755.85/x
  3. Step 3: Cross multiply
    1,531,720.13x = 3,299,755.85 × 3,299,755.85
  4. Step 4: Simplify right side
    1,531,720.13x = 10,888,388,679,920.30
  5. Step 5: Solve for x
    x = 10,888,388,679,920.30/1,531,720.13
  6. Step 6: Final answer
    x = 7,108,601.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.