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Finding the Third Proportional to 526,340.85 and 1,131,302.64

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Solution

The third proportional to 526,340.85 and 1,131,302.64 is: 2,431,590.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,340.85 : 1,131,302.64 = 1,131,302.64 : x
  2. Step 2: Convert to fraction form
    526,340.85/1,131,302.64 = 1,131,302.64/x
  3. Step 3: Cross multiply
    526,340.85x = 1,131,302.64 × 1,131,302.64
  4. Step 4: Simplify right side
    526,340.85x = 1,279,845,655,846.91
  5. Step 5: Solve for x
    x = 1,279,845,655,846.91/526,340.85
  6. Step 6: Final answer
    x = 2,431,590.98

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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.