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Finding the Third Proportional to 638,064 and 1,401,918

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Solution

The third proportional to 638,064 and 1,401,918 is: 3,080,214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,064 : 1,401,918 = 1,401,918 : x
  2. Step 2: Convert to fraction form
    638,064/1,401,918 = 1,401,918/x
  3. Step 3: Cross multiply
    638,064x = 1,401,918 × 1,401,918
  4. Step 4: Simplify right side
    638,064x = 1,965,374,078,724
  5. Step 5: Solve for x
    x = 1,965,374,078,724/638,064
  6. Step 6: Final answer
    x = 3,080,214.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.