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Finding the Third Proportional to 631,324 and 947,717

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Solution

The third proportional to 631,324 and 947,717 is: 1,422,672.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,324 : 947,717 = 947,717 : x
  2. Step 2: Convert to fraction form
    631,324/947,717 = 947,717/x
  3. Step 3: Cross multiply
    631,324x = 947,717 × 947,717
  4. Step 4: Simplify right side
    631,324x = 898,167,512,089
  5. Step 5: Solve for x
    x = 898,167,512,089/631,324
  6. Step 6: Final answer
    x = 1,422,672.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.