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Finding the Third Proportional to 827,136 and 1,247,616

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Solution

The third proportional to 827,136 and 1,247,616 is: 1,881,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,136 : 1,247,616 = 1,247,616 : x
  2. Step 2: Convert to fraction form
    827,136/1,247,616 = 1,247,616/x
  3. Step 3: Cross multiply
    827,136x = 1,247,616 × 1,247,616
  4. Step 4: Simplify right side
    827,136x = 1,556,545,683,456
  5. Step 5: Solve for x
    x = 1,556,545,683,456/827,136
  6. Step 6: Final answer
    x = 1,881,849.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.