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Finding the Third Proportional to 1,036,196 and 1,598,589

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Solution

The third proportional to 1,036,196 and 1,598,589 is: 2,466,219.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,196 : 1,598,589 = 1,598,589 : x
  2. Step 2: Convert to fraction form
    1,036,196/1,598,589 = 1,598,589/x
  3. Step 3: Cross multiply
    1,036,196x = 1,598,589 × 1,598,589
  4. Step 4: Simplify right side
    1,036,196x = 2,555,486,790,921
  5. Step 5: Solve for x
    x = 2,555,486,790,921/1,036,196
  6. Step 6: Final answer
    x = 2,466,219.51

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.