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Finding the Third Proportional to 465,918 and 1,008,000

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Solution

The third proportional to 465,918 and 1,008,000 is: 2,180,778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,918 : 1,008,000 = 1,008,000 : x
  2. Step 2: Convert to fraction form
    465,918/1,008,000 = 1,008,000/x
  3. Step 3: Cross multiply
    465,918x = 1,008,000 × 1,008,000
  4. Step 4: Simplify right side
    465,918x = 1,016,064,000,000
  5. Step 5: Solve for x
    x = 1,016,064,000,000/465,918
  6. Step 6: Final answer
    x = 2,180,778.59

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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.