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Finding the Third Proportional to 410,081 and 883,025

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Solution

The third proportional to 410,081 and 883,025 is: 1,901,412.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,081 : 883,025 = 883,025 : x
  2. Step 2: Convert to fraction form
    410,081/883,025 = 883,025/x
  3. Step 3: Cross multiply
    410,081x = 883,025 × 883,025
  4. Step 4: Simplify right side
    410,081x = 779,733,150,625
  5. Step 5: Solve for x
    x = 779,733,150,625/410,081
  6. Step 6: Final answer
    x = 1,901,412.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.