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Finding the Third Proportional to 771,136 and 1,635,584

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Solution

The third proportional to 771,136 and 1,635,584 is: 3,469,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,136 : 1,635,584 = 1,635,584 : x
  2. Step 2: Convert to fraction form
    771,136/1,635,584 = 1,635,584/x
  3. Step 3: Cross multiply
    771,136x = 1,635,584 × 1,635,584
  4. Step 4: Simplify right side
    771,136x = 2,675,135,021,056
  5. Step 5: Solve for x
    x = 2,675,135,021,056/771,136
  6. Step 6: Final answer
    x = 3,469,083.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.