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Finding the Third Proportional to 438,606 and 911,686

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Solution

The third proportional to 438,606 and 911,686 is: 1,895,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,606 : 911,686 = 911,686 : x
  2. Step 2: Convert to fraction form
    438,606/911,686 = 911,686/x
  3. Step 3: Cross multiply
    438,606x = 911,686 × 911,686
  4. Step 4: Simplify right side
    438,606x = 831,171,362,596
  5. Step 5: Solve for x
    x = 831,171,362,596/438,606
  6. Step 6: Final answer
    x = 1,895,029.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.