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Finding the Third Proportional to 828,668 and 1,804,948

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Solution

The third proportional to 828,668 and 1,804,948 is: 3,931,414.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,668 : 1,804,948 = 1,804,948 : x
  2. Step 2: Convert to fraction form
    828,668/1,804,948 = 1,804,948/x
  3. Step 3: Cross multiply
    828,668x = 1,804,948 × 1,804,948
  4. Step 4: Simplify right side
    828,668x = 3,257,837,282,704
  5. Step 5: Solve for x
    x = 3,257,837,282,704/828,668
  6. Step 6: Final answer
    x = 3,931,414.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.