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Finding the Third Proportional to 455,618.25 and 1,054,761.75

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Solution

The third proportional to 455,618.25 and 1,054,761.75 is: 2,441,786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,618.25 : 1,054,761.75 = 1,054,761.75 : x
  2. Step 2: Convert to fraction form
    455,618.25/1,054,761.75 = 1,054,761.75/x
  3. Step 3: Cross multiply
    455,618.25x = 1,054,761.75 × 1,054,761.75
  4. Step 4: Simplify right side
    455,618.25x = 1,112,522,349,263.06
  5. Step 5: Solve for x
    x = 1,112,522,349,263.06/455,618.25
  6. Step 6: Final answer
    x = 2,441,786.19

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.