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Finding the Third Proportional to 409,084 and 883,500

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Solution

The third proportional to 409,084 and 883,500 is: 1,908,097.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,084 : 883,500 = 883,500 : x
  2. Step 2: Convert to fraction form
    409,084/883,500 = 883,500/x
  3. Step 3: Cross multiply
    409,084x = 883,500 × 883,500
  4. Step 4: Simplify right side
    409,084x = 780,572,250,000
  5. Step 5: Solve for x
    x = 780,572,250,000/409,084
  6. Step 6: Final answer
    x = 1,908,097.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.