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Finding the Third Proportional to 465,922 and 1,008,008

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Solution

The third proportional to 465,922 and 1,008,008 is: 2,180,794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,922 : 1,008,008 = 1,008,008 : x
  2. Step 2: Convert to fraction form
    465,922/1,008,008 = 1,008,008/x
  3. Step 3: Cross multiply
    465,922x = 1,008,008 × 1,008,008
  4. Step 4: Simplify right side
    465,922x = 1,016,080,128,064
  5. Step 5: Solve for x
    x = 1,016,080,128,064/465,922
  6. Step 6: Final answer
    x = 2,180,794.49

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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.