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Finding the Third Proportional to 728,770 and 1,601,018

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Solution

The third proportional to 728,770 and 1,601,018 is: 3,517,239.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,770 : 1,601,018 = 1,601,018 : x
  2. Step 2: Convert to fraction form
    728,770/1,601,018 = 1,601,018/x
  3. Step 3: Cross multiply
    728,770x = 1,601,018 × 1,601,018
  4. Step 4: Simplify right side
    728,770x = 2,563,258,636,324
  5. Step 5: Solve for x
    x = 2,563,258,636,324/728,770
  6. Step 6: Final answer
    x = 3,517,239.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.