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Finding the Third Proportional to 828,642 and 1,804,902

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Solution

The third proportional to 828,642 and 1,804,902 is: 3,931,337.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,642 : 1,804,902 = 1,804,902 : x
  2. Step 2: Convert to fraction form
    828,642/1,804,902 = 1,804,902/x
  3. Step 3: Cross multiply
    828,642x = 1,804,902 × 1,804,902
  4. Step 4: Simplify right side
    828,642x = 3,257,671,229,604
  5. Step 5: Solve for x
    x = 3,257,671,229,604/828,642
  6. Step 6: Final answer
    x = 3,931,337.33

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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.