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Finding the Third Proportional to 659,245 and 1,439,299

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Solution

The third proportional to 659,245 and 1,439,299 is: 3,142,354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,245 : 1,439,299 = 1,439,299 : x
  2. Step 2: Convert to fraction form
    659,245/1,439,299 = 1,439,299/x
  3. Step 3: Cross multiply
    659,245x = 1,439,299 × 1,439,299
  4. Step 4: Simplify right side
    659,245x = 2,071,581,611,401
  5. Step 5: Solve for x
    x = 2,071,581,611,401/659,245
  6. Step 6: Final answer
    x = 3,142,354.68

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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.