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Finding the Third Proportional to 741,818 and 1,601,896

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Solution

The third proportional to 741,818 and 1,601,896 is: 3,459,164.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,818 : 1,601,896 = 1,601,896 : x
  2. Step 2: Convert to fraction form
    741,818/1,601,896 = 1,601,896/x
  3. Step 3: Cross multiply
    741,818x = 1,601,896 × 1,601,896
  4. Step 4: Simplify right side
    741,818x = 2,566,070,794,816
  5. Step 5: Solve for x
    x = 2,566,070,794,816/741,818
  6. Step 6: Final answer
    x = 3,459,164.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.