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Finding the Third Proportional to 836,934 and 1,815,564

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Solution

The third proportional to 836,934 and 1,815,564 is: 3,938,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,934 : 1,815,564 = 1,815,564 : x
  2. Step 2: Convert to fraction form
    836,934/1,815,564 = 1,815,564/x
  3. Step 3: Cross multiply
    836,934x = 1,815,564 × 1,815,564
  4. Step 4: Simplify right side
    836,934x = 3,296,272,638,096
  5. Step 5: Solve for x
    x = 3,296,272,638,096/836,934
  6. Step 6: Final answer
    x = 3,938,509.65

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