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Finding the Third Proportional to 729,299 and 1,516,675

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Solution

The third proportional to 729,299 and 1,516,675 is: 3,154,128.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,299 : 1,516,675 = 1,516,675 : x
  2. Step 2: Convert to fraction form
    729,299/1,516,675 = 1,516,675/x
  3. Step 3: Cross multiply
    729,299x = 1,516,675 × 1,516,675
  4. Step 4: Simplify right side
    729,299x = 2,300,303,055,625
  5. Step 5: Solve for x
    x = 2,300,303,055,625/729,299
  6. Step 6: Final answer
    x = 3,154,128.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.