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Finding the Third Proportional to 409,060 and 883,456

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Solution

The third proportional to 409,060 and 883,456 is: 1,908,019.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,060 : 883,456 = 883,456 : x
  2. Step 2: Convert to fraction form
    409,060/883,456 = 883,456/x
  3. Step 3: Cross multiply
    409,060x = 883,456 × 883,456
  4. Step 4: Simplify right side
    409,060x = 780,494,503,936
  5. Step 5: Solve for x
    x = 780,494,503,936/409,060
  6. Step 6: Final answer
    x = 1,908,019.62

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Why These Related Problems?

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