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Finding the Third Proportional to 1,586,464 and 2,416,874

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Solution

The third proportional to 1,586,464 and 2,416,874 is: 3,681,949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,464 : 2,416,874 = 2,416,874 : x
  2. Step 2: Convert to fraction form
    1,586,464/2,416,874 = 2,416,874/x
  3. Step 3: Cross multiply
    1,586,464x = 2,416,874 × 2,416,874
  4. Step 4: Simplify right side
    1,586,464x = 5,841,279,931,876
  5. Step 5: Solve for x
    x = 5,841,279,931,876/1,586,464
  6. Step 6: Final answer
    x = 3,681,949.25

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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.