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Finding the Third Proportional to 466,076.25 and 1,021,078.50

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Solution

The third proportional to 466,076.25 and 1,021,078.50 is: 2,236,975.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,076.25 : 1,021,078.50 = 1,021,078.50 : x
  2. Step 2: Convert to fraction form
    466,076.25/1,021,078.50 = 1,021,078.50/x
  3. Step 3: Cross multiply
    466,076.25x = 1,021,078.50 × 1,021,078.50
  4. Step 4: Simplify right side
    466,076.25x = 1,042,601,303,162.25
  5. Step 5: Solve for x
    x = 1,042,601,303,162.25/466,076.25
  6. Step 6: Final answer
    x = 2,236,975.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.