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Finding the Third Proportional to 1,024,770 and 2,201,172

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Solution

The third proportional to 1,024,770 and 2,201,172 is: 4,728,044.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,770 : 2,201,172 = 2,201,172 : x
  2. Step 2: Convert to fraction form
    1,024,770/2,201,172 = 2,201,172/x
  3. Step 3: Cross multiply
    1,024,770x = 2,201,172 × 2,201,172
  4. Step 4: Simplify right side
    1,024,770x = 4,845,158,173,584
  5. Step 5: Solve for x
    x = 4,845,158,173,584/1,024,770
  6. Step 6: Final answer
    x = 4,728,044.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.