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Finding the Third Proportional to 1,286,865 and 2,827,530

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Solution

The third proportional to 1,286,865 and 2,827,530 is: 6,212,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,865 : 2,827,530 = 2,827,530 : x
  2. Step 2: Convert to fraction form
    1,286,865/2,827,530 = 2,827,530/x
  3. Step 3: Cross multiply
    1,286,865x = 2,827,530 × 2,827,530
  4. Step 4: Simplify right side
    1,286,865x = 7,994,925,900,900
  5. Step 5: Solve for x
    x = 7,994,925,900,900/1,286,865
  6. Step 6: Final answer
    x = 6,212,715.32

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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.