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Finding the Third Proportional to 886,934 and 1,329,033

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Solution

The third proportional to 886,934 and 1,329,033 is: 1,991,499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,934 : 1,329,033 = 1,329,033 : x
  2. Step 2: Convert to fraction form
    886,934/1,329,033 = 1,329,033/x
  3. Step 3: Cross multiply
    886,934x = 1,329,033 × 1,329,033
  4. Step 4: Simplify right side
    886,934x = 1,766,328,715,089
  5. Step 5: Solve for x
    x = 1,766,328,715,089/886,934
  6. Step 6: Final answer
    x = 1,991,499.61

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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.