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Finding the Third Proportional to 462,464.25 and 1,008,747

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Solution

The third proportional to 462,464.25 and 1,008,747 is: 2,200,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,464.25 : 1,008,747 = 1,008,747 : x
  2. Step 2: Convert to fraction form
    462,464.25/1,008,747 = 1,008,747/x
  3. Step 3: Cross multiply
    462,464.25x = 1,008,747 × 1,008,747
  4. Step 4: Simplify right side
    462,464.25x = 1,017,570,510,009
  5. Step 5: Solve for x
    x = 1,017,570,510,009/462,464.25
  6. Step 6: Final answer
    x = 2,200,322.53

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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.