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Finding the Third Proportional to 391,038 and 856,824

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Solution

The third proportional to 391,038 and 856,824 is: 1,877,432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,038 : 856,824 = 856,824 : x
  2. Step 2: Convert to fraction form
    391,038/856,824 = 856,824/x
  3. Step 3: Cross multiply
    391,038x = 856,824 × 856,824
  4. Step 4: Simplify right side
    391,038x = 734,147,366,976
  5. Step 5: Solve for x
    x = 734,147,366,976/391,038
  6. Step 6: Final answer
    x = 1,877,432.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.