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Finding the Third Proportional to 1,657,768 and 2,567,568

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Solution

The third proportional to 1,657,768 and 2,567,568 is: 3,976,675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,768 : 2,567,568 = 2,567,568 : x
  2. Step 2: Convert to fraction form
    1,657,768/2,567,568 = 2,567,568/x
  3. Step 3: Cross multiply
    1,657,768x = 2,567,568 × 2,567,568
  4. Step 4: Simplify right side
    1,657,768x = 6,592,405,434,624
  5. Step 5: Solve for x
    x = 6,592,405,434,624/1,657,768
  6. Step 6: Final answer
    x = 3,976,675.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.