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Finding the Third Proportional to 1,933,266.75 and 2,840,725.13

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Solution

The third proportional to 1,933,266.75 and 2,840,725.13 is: 4,174,136.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933,266.75 : 2,840,725.13 = 2,840,725.13 : x
  2. Step 2: Convert to fraction form
    1,933,266.75/2,840,725.13 = 2,840,725.13/x
  3. Step 3: Cross multiply
    1,933,266.75x = 2,840,725.13 × 2,840,725.13
  4. Step 4: Simplify right side
    1,933,266.75x = 8,069,719,235,806.27
  5. Step 5: Solve for x
    x = 8,069,719,235,806.27/1,933,266.75
  6. Step 6: Final answer
    x = 4,174,136.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.