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Finding the Third Proportional to 1,586,452.50 and 2,416,857

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Solution

The third proportional to 1,586,452.50 and 2,416,857 is: 3,681,924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,452.50 : 2,416,857 = 2,416,857 : x
  2. Step 2: Convert to fraction form
    1,586,452.50/2,416,857 = 2,416,857/x
  3. Step 3: Cross multiply
    1,586,452.50x = 2,416,857 × 2,416,857
  4. Step 4: Simplify right side
    1,586,452.50x = 5,841,197,758,449
  5. Step 5: Solve for x
    x = 5,841,197,758,449/1,586,452.50
  6. Step 6: Final answer
    x = 3,681,924.14

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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.