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Finding the Third Proportional to 461,102.63 and 945,168.75

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Solution

The third proportional to 461,102.63 and 945,168.75 is: 1,937,408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,102.63 : 945,168.75 = 945,168.75 : x
  2. Step 2: Convert to fraction form
    461,102.63/945,168.75 = 945,168.75/x
  3. Step 3: Cross multiply
    461,102.63x = 945,168.75 × 945,168.75
  4. Step 4: Simplify right side
    461,102.63x = 893,343,965,976.56
  5. Step 5: Solve for x
    x = 893,343,965,976.56/461,102.63
  6. Step 6: Final answer
    x = 1,937,408.11

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.