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Finding the Third Proportional to 696,024 and 1,519,884

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Solution

The third proportional to 696,024 and 1,519,884 is: 3,318,919.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,024 : 1,519,884 = 1,519,884 : x
  2. Step 2: Convert to fraction form
    696,024/1,519,884 = 1,519,884/x
  3. Step 3: Cross multiply
    696,024x = 1,519,884 × 1,519,884
  4. Step 4: Simplify right side
    696,024x = 2,310,047,373,456
  5. Step 5: Solve for x
    x = 2,310,047,373,456/696,024
  6. Step 6: Final answer
    x = 3,318,919.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.