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Finding the Third Proportional to 1,586,476 and 2,383,218

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Solution

The third proportional to 1,586,476 and 2,383,218 is: 3,580,090.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,476 : 2,383,218 = 2,383,218 : x
  2. Step 2: Convert to fraction form
    1,586,476/2,383,218 = 2,383,218/x
  3. Step 3: Cross multiply
    1,586,476x = 2,383,218 × 2,383,218
  4. Step 4: Simplify right side
    1,586,476x = 5,679,728,035,524
  5. Step 5: Solve for x
    x = 5,679,728,035,524/1,586,476
  6. Step 6: Final answer
    x = 3,580,090.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.