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Finding the Third Proportional to 455,901.75 and 1,055,418.19

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Solution

The third proportional to 455,901.75 and 1,055,418.19 is: 2,443,306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,901.75 : 1,055,418.19 = 1,055,418.19 : x
  2. Step 2: Convert to fraction form
    455,901.75/1,055,418.19 = 1,055,418.19/x
  3. Step 3: Cross multiply
    455,901.75x = 1,055,418.19 × 1,055,418.19
  4. Step 4: Simplify right side
    455,901.75x = 1,113,907,550,505.79
  5. Step 5: Solve for x
    x = 1,113,907,550,505.79/455,901.75
  6. Step 6: Final answer
    x = 2,443,306.15

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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.