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Finding the Third Proportional to 1,156,869 and 1,730,175

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Solution

The third proportional to 1,156,869 and 1,730,175 is: 2,587,592.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156,869 : 1,730,175 = 1,730,175 : x
  2. Step 2: Convert to fraction form
    1,156,869/1,730,175 = 1,730,175/x
  3. Step 3: Cross multiply
    1,156,869x = 1,730,175 × 1,730,175
  4. Step 4: Simplify right side
    1,156,869x = 2,993,505,530,625
  5. Step 5: Solve for x
    x = 2,993,505,530,625/1,156,869
  6. Step 6: Final answer
    x = 2,587,592.49

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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.