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Finding the Third Proportional to 631,322 and 947,714

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Solution

The third proportional to 631,322 and 947,714 is: 1,422,668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,322 : 947,714 = 947,714 : x
  2. Step 2: Convert to fraction form
    631,322/947,714 = 947,714/x
  3. Step 3: Cross multiply
    631,322x = 947,714 × 947,714
  4. Step 4: Simplify right side
    631,322x = 898,161,825,796
  5. Step 5: Solve for x
    x = 898,161,825,796/631,322
  6. Step 6: Final answer
    x = 1,422,668.35

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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.