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Finding the Third Proportional to 638,080 and 1,401,948

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Solution

The third proportional to 638,080 and 1,401,948 is: 3,080,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,080 : 1,401,948 = 1,401,948 : x
  2. Step 2: Convert to fraction form
    638,080/1,401,948 = 1,401,948/x
  3. Step 3: Cross multiply
    638,080x = 1,401,948 × 1,401,948
  4. Step 4: Simplify right side
    638,080x = 1,965,458,194,704
  5. Step 5: Solve for x
    x = 1,965,458,194,704/638,080
  6. Step 6: Final answer
    x = 3,080,269.24

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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.