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Finding the Third Proportional to 828,644 and 1,804,906

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Solution

The third proportional to 828,644 and 1,804,906 is: 3,931,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,644 : 1,804,906 = 1,804,906 : x
  2. Step 2: Convert to fraction form
    828,644/1,804,906 = 1,804,906/x
  3. Step 3: Cross multiply
    828,644x = 1,804,906 × 1,804,906
  4. Step 4: Simplify right side
    828,644x = 3,257,685,668,836
  5. Step 5: Solve for x
    x = 3,257,685,668,836/828,644
  6. Step 6: Final answer
    x = 3,931,345.27

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