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Finding the Third Proportional to 407,902 and 883,592

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Solution

The third proportional to 407,902 and 883,592 is: 1,914,025.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,902 : 883,592 = 883,592 : x
  2. Step 2: Convert to fraction form
    407,902/883,592 = 883,592/x
  3. Step 3: Cross multiply
    407,902x = 883,592 × 883,592
  4. Step 4: Simplify right side
    407,902x = 780,734,822,464
  5. Step 5: Solve for x
    x = 780,734,822,464/407,902
  6. Step 6: Final answer
    x = 1,914,025.48

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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.