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Finding the Third Proportional to 733,741 and 1,097,237

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Solution

The third proportional to 733,741 and 1,097,237 is: 1,640,809.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,741 : 1,097,237 = 1,097,237 : x
  2. Step 2: Convert to fraction form
    733,741/1,097,237 = 1,097,237/x
  3. Step 3: Cross multiply
    733,741x = 1,097,237 × 1,097,237
  4. Step 4: Simplify right side
    733,741x = 1,203,929,034,169
  5. Step 5: Solve for x
    x = 1,203,929,034,169/733,741
  6. Step 6: Final answer
    x = 1,640,809.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.