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Finding the Third Proportional to 631,775 and 1,491,406.50

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Solution

The third proportional to 631,775 and 1,491,406.50 is: 3,520,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,775 : 1,491,406.50 = 1,491,406.50 : x
  2. Step 2: Convert to fraction form
    631,775/1,491,406.50 = 1,491,406.50/x
  3. Step 3: Cross multiply
    631,775x = 1,491,406.50 × 1,491,406.50
  4. Step 4: Simplify right side
    631,775x = 2,224,293,348,242.25
  5. Step 5: Solve for x
    x = 2,224,293,348,242.25/631,775
  6. Step 6: Final answer
    x = 3,520,704.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.