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Finding the Third Proportional to 1,973,264 and 2,951,968

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Solution

The third proportional to 1,973,264 and 2,951,968 is: 4,416,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973,264 : 2,951,968 = 2,951,968 : x
  2. Step 2: Convert to fraction form
    1,973,264/2,951,968 = 2,951,968/x
  3. Step 3: Cross multiply
    1,973,264x = 2,951,968 × 2,951,968
  4. Step 4: Simplify right side
    1,973,264x = 8,714,115,073,024
  5. Step 5: Solve for x
    x = 8,714,115,073,024/1,973,264
  6. Step 6: Final answer
    x = 4,416,091.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.