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Finding the Third Proportional to 410,079 and 883,021

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Solution

The third proportional to 410,079 and 883,021 is: 1,901,404.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,079 : 883,021 = 883,021 : x
  2. Step 2: Convert to fraction form
    410,079/883,021 = 883,021/x
  3. Step 3: Cross multiply
    410,079x = 883,021 × 883,021
  4. Step 4: Simplify right side
    410,079x = 779,726,086,441
  5. Step 5: Solve for x
    x = 779,726,086,441/410,079
  6. Step 6: Final answer
    x = 1,901,404.57

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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.