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Finding the Third Proportional to 631,617 and 970,848

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Solution

The third proportional to 631,617 and 970,848 is: 1,492,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,617 : 970,848 = 970,848 : x
  2. Step 2: Convert to fraction form
    631,617/970,848 = 970,848/x
  3. Step 3: Cross multiply
    631,617x = 970,848 × 970,848
  4. Step 4: Simplify right side
    631,617x = 942,545,839,104
  5. Step 5: Solve for x
    x = 942,545,839,104/631,617
  6. Step 6: Final answer
    x = 1,492,274.34

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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.