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Finding the Third Proportional to 631,796 and 970,617

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Solution

The third proportional to 631,796 and 970,617 is: 1,491,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,796 : 970,617 = 970,617 : x
  2. Step 2: Convert to fraction form
    631,796/970,617 = 970,617/x
  3. Step 3: Cross multiply
    631,796x = 970,617 × 970,617
  4. Step 4: Simplify right side
    631,796x = 942,097,360,689
  5. Step 5: Solve for x
    x = 942,097,360,689/631,796
  6. Step 6: Final answer
    x = 1,491,141.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.