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Finding the Third Proportional to 1,843,449 and 4,024,584

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Solution

The third proportional to 1,843,449 and 4,024,584 is: 8,786,397.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843,449 : 4,024,584 = 4,024,584 : x
  2. Step 2: Convert to fraction form
    1,843,449/4,024,584 = 4,024,584/x
  3. Step 3: Cross multiply
    1,843,449x = 4,024,584 × 4,024,584
  4. Step 4: Simplify right side
    1,843,449x = 16,197,276,373,056
  5. Step 5: Solve for x
    x = 16,197,276,373,056/1,843,449
  6. Step 6: Final answer
    x = 8,786,397.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.