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Finding the Third Proportional to 580,232 and 1,246,171

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Solution

The third proportional to 580,232 and 1,246,171 is: 2,676,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,232 : 1,246,171 = 1,246,171 : x
  2. Step 2: Convert to fraction form
    580,232/1,246,171 = 1,246,171/x
  3. Step 3: Cross multiply
    580,232x = 1,246,171 × 1,246,171
  4. Step 4: Simplify right side
    580,232x = 1,552,942,161,241
  5. Step 5: Solve for x
    x = 1,552,942,161,241/580,232
  6. Step 6: Final answer
    x = 2,676,415.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.