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Finding the Third Proportional to 528,077 and 1,135,764

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Solution

The third proportional to 528,077 and 1,135,764 is: 2,442,749.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,077 : 1,135,764 = 1,135,764 : x
  2. Step 2: Convert to fraction form
    528,077/1,135,764 = 1,135,764/x
  3. Step 3: Cross multiply
    528,077x = 1,135,764 × 1,135,764
  4. Step 4: Simplify right side
    528,077x = 1,289,959,863,696
  5. Step 5: Solve for x
    x = 1,289,959,863,696/528,077
  6. Step 6: Final answer
    x = 2,442,749.57

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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.