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Finding the Third Proportional to 521,347.50 and 1,138,491

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Solution

The third proportional to 521,347.50 and 1,138,491 is: 2,486,176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,347.50 : 1,138,491 = 1,138,491 : x
  2. Step 2: Convert to fraction form
    521,347.50/1,138,491 = 1,138,491/x
  3. Step 3: Cross multiply
    521,347.50x = 1,138,491 × 1,138,491
  4. Step 4: Simplify right side
    521,347.50x = 1,296,161,757,081
  5. Step 5: Solve for x
    x = 1,296,161,757,081/521,347.50
  6. Step 6: Final answer
    x = 2,486,176.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.