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Finding the Third Proportional to 569,629 and 1,344,667

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Solution

The third proportional to 569,629 and 1,344,667 is: 3,174,222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,629 : 1,344,667 = 1,344,667 : x
  2. Step 2: Convert to fraction form
    569,629/1,344,667 = 1,344,667/x
  3. Step 3: Cross multiply
    569,629x = 1,344,667 × 1,344,667
  4. Step 4: Simplify right side
    569,629x = 1,808,129,340,889
  5. Step 5: Solve for x
    x = 1,808,129,340,889/569,629
  6. Step 6: Final answer
    x = 3,174,222.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.