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Finding the Third Proportional to 911,106 and 1,993,824

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Solution

The third proportional to 911,106 and 1,993,824 is: 4,363,196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,106 : 1,993,824 = 1,993,824 : x
  2. Step 2: Convert to fraction form
    911,106/1,993,824 = 1,993,824/x
  3. Step 3: Cross multiply
    911,106x = 1,993,824 × 1,993,824
  4. Step 4: Simplify right side
    911,106x = 3,975,334,142,976
  5. Step 5: Solve for x
    x = 3,975,334,142,976/911,106
  6. Step 6: Final answer
    x = 4,363,196.10

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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.