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Finding the Third Proportional to 984,431 and 2,136,919

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Solution

The third proportional to 984,431 and 2,136,919 is: 4,638,641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,431 : 2,136,919 = 2,136,919 : x
  2. Step 2: Convert to fraction form
    984,431/2,136,919 = 2,136,919/x
  3. Step 3: Cross multiply
    984,431x = 2,136,919 × 2,136,919
  4. Step 4: Simplify right side
    984,431x = 4,566,422,812,561
  5. Step 5: Solve for x
    x = 4,566,422,812,561/984,431
  6. Step 6: Final answer
    x = 4,638,641.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.