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Finding the Third Proportional to 455,886 and 992,043.75

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Solution

The third proportional to 455,886 and 992,043.75 is: 2,158,765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,886 : 992,043.75 = 992,043.75 : x
  2. Step 2: Convert to fraction form
    455,886/992,043.75 = 992,043.75/x
  3. Step 3: Cross multiply
    455,886x = 992,043.75 × 992,043.75
  4. Step 4: Simplify right side
    455,886x = 984,150,801,914.06
  5. Step 5: Solve for x
    x = 984,150,801,914.06/455,886
  6. Step 6: Final answer
    x = 2,158,765.13

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.