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Finding the Third Proportional to 411,804 and 889,212

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Solution

The third proportional to 411,804 and 889,212 is: 1,920,083.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,804 : 889,212 = 889,212 : x
  2. Step 2: Convert to fraction form
    411,804/889,212 = 889,212/x
  3. Step 3: Cross multiply
    411,804x = 889,212 × 889,212
  4. Step 4: Simplify right side
    411,804x = 790,697,980,944
  5. Step 5: Solve for x
    x = 790,697,980,944/411,804
  6. Step 6: Final answer
    x = 1,920,083.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.