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Finding the Third Proportional to 1,460,997 and 3,202,191

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Solution

The third proportional to 1,460,997 and 3,202,191 is: 7,018,513.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460,997 : 3,202,191 = 3,202,191 : x
  2. Step 2: Convert to fraction form
    1,460,997/3,202,191 = 3,202,191/x
  3. Step 3: Cross multiply
    1,460,997x = 3,202,191 × 3,202,191
  4. Step 4: Simplify right side
    1,460,997x = 10,254,027,200,481
  5. Step 5: Solve for x
    x = 10,254,027,200,481/1,460,997
  6. Step 6: Final answer
    x = 7,018,513.52

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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.