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Finding the Third Proportional to 1,093,150.69 and 2,256,319.13

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Solution

The third proportional to 1,093,150.69 and 2,256,319.13 is: 4,657,158.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093,150.69 : 2,256,319.13 = 2,256,319.13 : x
  2. Step 2: Convert to fraction form
    1,093,150.69/2,256,319.13 = 2,256,319.13/x
  3. Step 3: Cross multiply
    1,093,150.69x = 2,256,319.13 × 2,256,319.13
  4. Step 4: Simplify right side
    1,093,150.69x = 5,090,975,993,840.77
  5. Step 5: Solve for x
    x = 5,090,975,993,840.77/1,093,150.69
  6. Step 6: Final answer
    x = 4,657,158.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.