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Finding the Third Proportional to 594,136 and 1,237,232

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Solution

The third proportional to 594,136 and 1,237,232 is: 2,576,418.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,136 : 1,237,232 = 1,237,232 : x
  2. Step 2: Convert to fraction form
    594,136/1,237,232 = 1,237,232/x
  3. Step 3: Cross multiply
    594,136x = 1,237,232 × 1,237,232
  4. Step 4: Simplify right side
    594,136x = 1,530,743,021,824
  5. Step 5: Solve for x
    x = 1,530,743,021,824/594,136
  6. Step 6: Final answer
    x = 2,576,418.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.