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Finding the Third Proportional to 911,214 and 1,448,199

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Solution

The third proportional to 911,214 and 1,448,199 is: 2,301,633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,214 : 1,448,199 = 1,448,199 : x
  2. Step 2: Convert to fraction form
    911,214/1,448,199 = 1,448,199/x
  3. Step 3: Cross multiply
    911,214x = 1,448,199 × 1,448,199
  4. Step 4: Simplify right side
    911,214x = 2,097,280,343,601
  5. Step 5: Solve for x
    x = 2,097,280,343,601/911,214
  6. Step 6: Final answer
    x = 2,301,633.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.