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Finding the Third Proportional to 2,024,509 and 3,104,412

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Solution

The third proportional to 2,024,509 and 3,104,412 is: 4,760,351.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024,509 : 3,104,412 = 3,104,412 : x
  2. Step 2: Convert to fraction form
    2,024,509/3,104,412 = 3,104,412/x
  3. Step 3: Cross multiply
    2,024,509x = 3,104,412 × 3,104,412
  4. Step 4: Simplify right side
    2,024,509x = 9,637,373,865,744
  5. Step 5: Solve for x
    x = 9,637,373,865,744/2,024,509
  6. Step 6: Final answer
    x = 4,760,351.21

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.