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Finding the Third Proportional to 911,043 and 1,993,696

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Solution

The third proportional to 911,043 and 1,993,696 is: 4,362,937.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,043 : 1,993,696 = 1,993,696 : x
  2. Step 2: Convert to fraction form
    911,043/1,993,696 = 1,993,696/x
  3. Step 3: Cross multiply
    911,043x = 1,993,696 × 1,993,696
  4. Step 4: Simplify right side
    911,043x = 3,974,823,740,416
  5. Step 5: Solve for x
    x = 3,974,823,740,416/911,043
  6. Step 6: Final answer
    x = 4,362,937.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.