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Finding the Third Proportional to 631,317 and 947,704

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Solution

The third proportional to 631,317 and 947,704 is: 1,422,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,317 : 947,704 = 947,704 : x
  2. Step 2: Convert to fraction form
    631,317/947,704 = 947,704/x
  3. Step 3: Cross multiply
    631,317x = 947,704 × 947,704
  4. Step 4: Simplify right side
    631,317x = 898,142,871,616
  5. Step 5: Solve for x
    x = 898,142,871,616/631,317
  6. Step 6: Final answer
    x = 1,422,649.59

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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.