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Finding the Third Proportional to 886,299 and 1,290,696

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Solution

The third proportional to 886,299 and 1,290,696 is: 1,879,609.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,299 : 1,290,696 = 1,290,696 : x
  2. Step 2: Convert to fraction form
    886,299/1,290,696 = 1,290,696/x
  3. Step 3: Cross multiply
    886,299x = 1,290,696 × 1,290,696
  4. Step 4: Simplify right side
    886,299x = 1,665,896,164,416
  5. Step 5: Solve for x
    x = 1,665,896,164,416/886,299
  6. Step 6: Final answer
    x = 1,879,609.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.