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Finding the Third Proportional to 520,713 and 1,141,296

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Solution

The third proportional to 520,713 and 1,141,296 is: 2,501,486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,713 : 1,141,296 = 1,141,296 : x
  2. Step 2: Convert to fraction form
    520,713/1,141,296 = 1,141,296/x
  3. Step 3: Cross multiply
    520,713x = 1,141,296 × 1,141,296
  4. Step 4: Simplify right side
    520,713x = 1,302,556,559,616
  5. Step 5: Solve for x
    x = 1,302,556,559,616/520,713
  6. Step 6: Final answer
    x = 2,501,486.54

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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.