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Finding the Third Proportional to 465,903 and 1,007,973

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Solution

The third proportional to 465,903 and 1,007,973 is: 2,180,731.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,903 : 1,007,973 = 1,007,973 : x
  2. Step 2: Convert to fraction form
    465,903/1,007,973 = 1,007,973/x
  3. Step 3: Cross multiply
    465,903x = 1,007,973 × 1,007,973
  4. Step 4: Simplify right side
    465,903x = 1,016,009,568,729
  5. Step 5: Solve for x
    x = 1,016,009,568,729/465,903
  6. Step 6: Final answer
    x = 2,180,731.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.