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Finding the Third Proportional to 1,586,451 and 2,416,855

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Solution

The third proportional to 1,586,451 and 2,416,855 is: 3,681,921.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,451 : 2,416,855 = 2,416,855 : x
  2. Step 2: Convert to fraction form
    1,586,451/2,416,855 = 2,416,855/x
  3. Step 3: Cross multiply
    1,586,451x = 2,416,855 × 2,416,855
  4. Step 4: Simplify right side
    1,586,451x = 5,841,188,091,025
  5. Step 5: Solve for x
    x = 5,841,188,091,025/1,586,451
  6. Step 6: Final answer
    x = 3,681,921.53

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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.