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Finding the Third Proportional to 412,194 and 868,669

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Solution

The third proportional to 412,194 and 868,669 is: 1,830,657.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,194 : 868,669 = 868,669 : x
  2. Step 2: Convert to fraction form
    412,194/868,669 = 868,669/x
  3. Step 3: Cross multiply
    412,194x = 868,669 × 868,669
  4. Step 4: Simplify right side
    412,194x = 754,585,831,561
  5. Step 5: Solve for x
    x = 754,585,831,561/412,194
  6. Step 6: Final answer
    x = 1,830,657.00

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.