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Finding the Third Proportional to 631,618.88 and 970,856.44

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Solution

The third proportional to 631,618.88 and 970,856.44 is: 1,492,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,618.88 : 970,856.44 = 970,856.44 : x
  2. Step 2: Convert to fraction form
    631,618.88/970,856.44 = 970,856.44/x
  3. Step 3: Cross multiply
    631,618.88x = 970,856.44 × 970,856.44
  4. Step 4: Simplify right side
    631,618.88x = 942,562,222,235.19
  5. Step 5: Solve for x
    x = 942,562,222,235.19/631,618.88
  6. Step 6: Final answer
    x = 1,492,295.84

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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.