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Finding the Third Proportional to 1,349,653 and 2,069,589

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Solution

The third proportional to 1,349,653 and 2,069,589 is: 3,173,555.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349,653 : 2,069,589 = 2,069,589 : x
  2. Step 2: Convert to fraction form
    1,349,653/2,069,589 = 2,069,589/x
  3. Step 3: Cross multiply
    1,349,653x = 2,069,589 × 2,069,589
  4. Step 4: Simplify right side
    1,349,653x = 4,283,198,628,921
  5. Step 5: Solve for x
    x = 4,283,198,628,921/1,349,653
  6. Step 6: Final answer
    x = 3,173,555.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.