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Finding the Third Proportional to 452,126.25 and 966,435.75

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Solution

The third proportional to 452,126.25 and 966,435.75 is: 2,065,790.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,126.25 : 966,435.75 = 966,435.75 : x
  2. Step 2: Convert to fraction form
    452,126.25/966,435.75 = 966,435.75/x
  3. Step 3: Cross multiply
    452,126.25x = 966,435.75 × 966,435.75
  4. Step 4: Simplify right side
    452,126.25x = 933,998,058,878.06
  5. Step 5: Solve for x
    x = 933,998,058,878.06/452,126.25
  6. Step 6: Final answer
    x = 2,065,790.38

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.