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Finding the Third Proportional to 631,607.63 and 970,840.69

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Solution

The third proportional to 631,607.63 and 970,840.69 is: 1,492,274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,607.63 : 970,840.69 = 970,840.69 : x
  2. Step 2: Convert to fraction form
    631,607.63/970,840.69 = 970,840.69/x
  3. Step 3: Cross multiply
    631,607.63x = 970,840.69 × 970,840.69
  4. Step 4: Simplify right side
    631,607.63x = 942,531,640,505.47
  5. Step 5: Solve for x
    x = 942,531,640,505.47/631,607.63
  6. Step 6: Final answer
    x = 1,492,274.01

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