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Finding the Third Proportional to 932,828 and 1,977,757

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Solution

The third proportional to 932,828 and 1,977,757 is: 4,193,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,828 : 1,977,757 = 1,977,757 : x
  2. Step 2: Convert to fraction form
    932,828/1,977,757 = 1,977,757/x
  3. Step 3: Cross multiply
    932,828x = 1,977,757 × 1,977,757
  4. Step 4: Simplify right side
    932,828x = 3,911,522,751,049
  5. Step 5: Solve for x
    x = 3,911,522,751,049/932,828
  6. Step 6: Final answer
    x = 4,193,187.54

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.