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Finding the Third Proportional to 1,586,532 and 2,416,997.25

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Solution

The third proportional to 1,586,532 and 2,416,997.25 is: 3,682,166.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,532 : 2,416,997.25 = 2,416,997.25 : x
  2. Step 2: Convert to fraction form
    1,586,532/2,416,997.25 = 2,416,997.25/x
  3. Step 3: Cross multiply
    1,586,532x = 2,416,997.25 × 2,416,997.25
  4. Step 4: Simplify right side
    1,586,532x = 5,841,875,706,507.56
  5. Step 5: Solve for x
    x = 5,841,875,706,507.56/1,586,532
  6. Step 6: Final answer
    x = 3,682,166.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.