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Finding the Third Proportional to 731,996 and 1,586,176

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Solution

The third proportional to 731,996 and 1,586,176 is: 3,437,114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,996 : 1,586,176 = 1,586,176 : x
  2. Step 2: Convert to fraction form
    731,996/1,586,176 = 1,586,176/x
  3. Step 3: Cross multiply
    731,996x = 1,586,176 × 1,586,176
  4. Step 4: Simplify right side
    731,996x = 2,515,954,302,976
  5. Step 5: Solve for x
    x = 2,515,954,302,976/731,996
  6. Step 6: Final answer
    x = 3,437,114.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.