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Finding the Third Proportional to 911,168 and 1,389,216

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Solution

The third proportional to 911,168 and 1,389,216 is: 2,118,073.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,168 : 1,389,216 = 1,389,216 : x
  2. Step 2: Convert to fraction form
    911,168/1,389,216 = 1,389,216/x
  3. Step 3: Cross multiply
    911,168x = 1,389,216 × 1,389,216
  4. Step 4: Simplify right side
    911,168x = 1,929,921,094,656
  5. Step 5: Solve for x
    x = 1,929,921,094,656/911,168
  6. Step 6: Final answer
    x = 2,118,073.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.