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Finding the Third Proportional to 2,005,296.75 and 4,330,171.13

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Solution

The third proportional to 2,005,296.75 and 4,330,171.13 is: 9,350,427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,296.75 : 4,330,171.13 = 4,330,171.13 : x
  2. Step 2: Convert to fraction form
    2,005,296.75/4,330,171.13 = 4,330,171.13/x
  3. Step 3: Cross multiply
    2,005,296.75x = 4,330,171.13 × 4,330,171.13
  4. Step 4: Simplify right side
    2,005,296.75x = 18,750,381,971,783.77
  5. Step 5: Solve for x
    x = 18,750,381,971,783.77/2,005,296.75
  6. Step 6: Final answer
    x = 9,350,427.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.