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Finding the Third Proportional to 1,273,194 and 1,730,169

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Solution

The third proportional to 1,273,194 and 1,730,169 is: 2,351,161.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273,194 : 1,730,169 = 1,730,169 : x
  2. Step 2: Convert to fraction form
    1,273,194/1,730,169 = 1,730,169/x
  3. Step 3: Cross multiply
    1,273,194x = 1,730,169 × 1,730,169
  4. Step 4: Simplify right side
    1,273,194x = 2,993,484,768,561
  5. Step 5: Solve for x
    x = 2,993,484,768,561/1,273,194
  6. Step 6: Final answer
    x = 2,351,161.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.