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Finding the Third Proportional to 1,586,519 and 2,416,969

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Solution

The third proportional to 1,586,519 and 2,416,969 is: 3,682,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,519 : 2,416,969 = 2,416,969 : x
  2. Step 2: Convert to fraction form
    1,586,519/2,416,969 = 2,416,969/x
  3. Step 3: Cross multiply
    1,586,519x = 2,416,969 × 2,416,969
  4. Step 4: Simplify right side
    1,586,519x = 5,841,739,146,961
  5. Step 5: Solve for x
    x = 5,841,739,146,961/1,586,519
  6. Step 6: Final answer
    x = 3,682,111.05

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