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Finding the Third Proportional to 821,939 and 1,289,705

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Solution

The third proportional to 821,939 and 1,289,705 is: 2,023,676.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,939 : 1,289,705 = 1,289,705 : x
  2. Step 2: Convert to fraction form
    821,939/1,289,705 = 1,289,705/x
  3. Step 3: Cross multiply
    821,939x = 1,289,705 × 1,289,705
  4. Step 4: Simplify right side
    821,939x = 1,663,338,987,025
  5. Step 5: Solve for x
    x = 1,663,338,987,025/821,939
  6. Step 6: Final answer
    x = 2,023,676.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.