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Finding the Third Proportional to 544,136 and 1,193,296

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Solution

The third proportional to 544,136 and 1,193,296 is: 2,616,910.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,136 : 1,193,296 = 1,193,296 : x
  2. Step 2: Convert to fraction form
    544,136/1,193,296 = 1,193,296/x
  3. Step 3: Cross multiply
    544,136x = 1,193,296 × 1,193,296
  4. Step 4: Simplify right side
    544,136x = 1,423,955,343,616
  5. Step 5: Solve for x
    x = 1,423,955,343,616/544,136
  6. Step 6: Final answer
    x = 2,616,910.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.