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Finding the Third Proportional to 1,577,686 and 3,453,896

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Solution

The third proportional to 1,577,686 and 3,453,896 is: 7,561,325.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,686 : 3,453,896 = 3,453,896 : x
  2. Step 2: Convert to fraction form
    1,577,686/3,453,896 = 3,453,896/x
  3. Step 3: Cross multiply
    1,577,686x = 3,453,896 × 3,453,896
  4. Step 4: Simplify right side
    1,577,686x = 11,929,397,578,816
  5. Step 5: Solve for x
    x = 11,929,397,578,816/1,577,686
  6. Step 6: Final answer
    x = 7,561,325.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.