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Finding the Third Proportional to 1,586,484 and 2,416,903

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Solution

The third proportional to 1,586,484 and 2,416,903 is: 3,681,991.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,484 : 2,416,903 = 2,416,903 : x
  2. Step 2: Convert to fraction form
    1,586,484/2,416,903 = 2,416,903/x
  3. Step 3: Cross multiply
    1,586,484x = 2,416,903 × 2,416,903
  4. Step 4: Simplify right side
    1,586,484x = 5,841,420,111,409
  5. Step 5: Solve for x
    x = 5,841,420,111,409/1,586,484
  6. Step 6: Final answer
    x = 3,681,991.19

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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.