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Finding the Third Proportional to 835,696 and 1,273,134

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Solution

The third proportional to 835,696 and 1,273,134 is: 1,939,545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,696 : 1,273,134 = 1,273,134 : x
  2. Step 2: Convert to fraction form
    835,696/1,273,134 = 1,273,134/x
  3. Step 3: Cross multiply
    835,696x = 1,273,134 × 1,273,134
  4. Step 4: Simplify right side
    835,696x = 1,620,870,181,956
  5. Step 5: Solve for x
    x = 1,620,870,181,956/835,696
  6. Step 6: Final answer
    x = 1,939,545.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.