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Finding the Third Proportional to 407,936 and 883,656

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Solution

The third proportional to 407,936 and 883,656 is: 1,914,143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,936 : 883,656 = 883,656 : x
  2. Step 2: Convert to fraction form
    407,936/883,656 = 883,656/x
  3. Step 3: Cross multiply
    407,936x = 883,656 × 883,656
  4. Step 4: Simplify right side
    407,936x = 780,847,926,336
  5. Step 5: Solve for x
    x = 780,847,926,336/407,936
  6. Step 6: Final answer
    x = 1,914,143.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.