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Finding the Third Proportional to 828,945 and 1,815,696

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Solution

The third proportional to 828,945 and 1,815,696 is: 3,977,045.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,945 : 1,815,696 = 1,815,696 : x
  2. Step 2: Convert to fraction form
    828,945/1,815,696 = 1,815,696/x
  3. Step 3: Cross multiply
    828,945x = 1,815,696 × 1,815,696
  4. Step 4: Simplify right side
    828,945x = 3,296,751,964,416
  5. Step 5: Solve for x
    x = 3,296,751,964,416/828,945
  6. Step 6: Final answer
    x = 3,977,045.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.