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Finding the Third Proportional to 1,900,680.75 and 4,135,965.75

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Solution

The third proportional to 1,900,680.75 and 4,135,965.75 is: 9,000,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900,680.75 : 4,135,965.75 = 4,135,965.75 : x
  2. Step 2: Convert to fraction form
    1,900,680.75/4,135,965.75 = 4,135,965.75/x
  3. Step 3: Cross multiply
    1,900,680.75x = 4,135,965.75 × 4,135,965.75
  4. Step 4: Simplify right side
    1,900,680.75x = 17,106,212,685,173.06
  5. Step 5: Solve for x
    x = 17,106,212,685,173.06/1,900,680.75
  6. Step 6: Final answer
    x = 9,000,045.21

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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.