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Finding the Third Proportional to 2,051,357.06 and 4,463,933.63

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Solution

The third proportional to 2,051,357.06 and 4,463,933.63 is: 9,713,912.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,357.06 : 4,463,933.63 = 4,463,933.63 : x
  2. Step 2: Convert to fraction form
    2,051,357.06/4,463,933.63 = 4,463,933.63/x
  3. Step 3: Cross multiply
    2,051,357.06x = 4,463,933.63 × 4,463,933.63
  4. Step 4: Simplify right side
    2,051,357.06x = 19,926,703,408,405.64
  5. Step 5: Solve for x
    x = 19,926,703,408,405.64/2,051,357.06
  6. Step 6: Final answer
    x = 9,713,912.69

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Why These Related Problems?

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