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Finding the Third Proportional to 2,051,978 and 4,465,152

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Solution

The third proportional to 2,051,978 and 4,465,152 is: 9,716,274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,978 : 4,465,152 = 4,465,152 : x
  2. Step 2: Convert to fraction form
    2,051,978/4,465,152 = 4,465,152/x
  3. Step 3: Cross multiply
    2,051,978x = 4,465,152 × 4,465,152
  4. Step 4: Simplify right side
    2,051,978x = 19,937,582,383,104
  5. Step 5: Solve for x
    x = 19,937,582,383,104/2,051,978
  6. Step 6: Final answer
    x = 9,716,274.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.