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Finding the Third Proportional to 631,617 and 970,851

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Solution

The third proportional to 631,617 and 970,851 is: 1,492,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,617 : 970,851 = 970,851 : x
  2. Step 2: Convert to fraction form
    631,617/970,851 = 970,851/x
  3. Step 3: Cross multiply
    631,617x = 970,851 × 970,851
  4. Step 4: Simplify right side
    631,617x = 942,551,664,201
  5. Step 5: Solve for x
    x = 942,551,664,201/631,617
  6. Step 6: Final answer
    x = 1,492,283.56

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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.