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Finding the Third Proportional to 631,713 and 1,381,524

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Solution

The third proportional to 631,713 and 1,381,524 is: 3,021,322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,713 : 1,381,524 = 1,381,524 : x
  2. Step 2: Convert to fraction form
    631,713/1,381,524 = 1,381,524/x
  3. Step 3: Cross multiply
    631,713x = 1,381,524 × 1,381,524
  4. Step 4: Simplify right side
    631,713x = 1,908,608,562,576
  5. Step 5: Solve for x
    x = 1,908,608,562,576/631,713
  6. Step 6: Final answer
    x = 3,021,322.28

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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.