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Finding the Third Proportional to 1,195,568 and 2,590,312

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Solution

The third proportional to 1,195,568 and 2,590,312 is: 5,612,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195,568 : 2,590,312 = 2,590,312 : x
  2. Step 2: Convert to fraction form
    1,195,568/2,590,312 = 2,590,312/x
  3. Step 3: Cross multiply
    1,195,568x = 2,590,312 × 2,590,312
  4. Step 4: Simplify right side
    1,195,568x = 6,709,716,257,344
  5. Step 5: Solve for x
    x = 6,709,716,257,344/1,195,568
  6. Step 6: Final answer
    x = 5,612,157.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.