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Finding the Third Proportional to 775,082 and 1,702,948

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Solution

The third proportional to 775,082 and 1,702,948 is: 3,741,580.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,082 : 1,702,948 = 1,702,948 : x
  2. Step 2: Convert to fraction form
    775,082/1,702,948 = 1,702,948/x
  3. Step 3: Cross multiply
    775,082x = 1,702,948 × 1,702,948
  4. Step 4: Simplify right side
    775,082x = 2,900,031,890,704
  5. Step 5: Solve for x
    x = 2,900,031,890,704/775,082
  6. Step 6: Final answer
    x = 3,741,580.75

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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.