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Finding the Third Proportional to 1,456,710 and 3,202,509

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Solution

The third proportional to 1,456,710 and 3,202,509 is: 7,040,566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,710 : 3,202,509 = 3,202,509 : x
  2. Step 2: Convert to fraction form
    1,456,710/3,202,509 = 3,202,509/x
  3. Step 3: Cross multiply
    1,456,710x = 3,202,509 × 3,202,509
  4. Step 4: Simplify right side
    1,456,710x = 10,256,063,895,081
  5. Step 5: Solve for x
    x = 10,256,063,895,081/1,456,710
  6. Step 6: Final answer
    x = 7,040,566.68

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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.