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Finding the Third Proportional to 2,769,835.50 and 4,143,681.56

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Solution

The third proportional to 2,769,835.50 and 4,143,681.56 is: 6,198,959.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769,835.50 : 4,143,681.56 = 4,143,681.56 : x
  2. Step 2: Convert to fraction form
    2,769,835.50/4,143,681.56 = 4,143,681.56/x
  3. Step 3: Cross multiply
    2,769,835.50x = 4,143,681.56 × 4,143,681.56
  4. Step 4: Simplify right side
    2,769,835.50x = 17,170,096,891,402.44
  5. Step 5: Solve for x
    x = 17,170,096,891,402.44/2,769,835.50
  6. Step 6: Final answer
    x = 6,198,959.07

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Why These Related Problems?

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