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Finding the Third Proportional to 405,173 and 888,100

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Solution

The third proportional to 405,173 and 888,100 is: 1,946,629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,173 : 888,100 = 888,100 : x
  2. Step 2: Convert to fraction form
    405,173/888,100 = 888,100/x
  3. Step 3: Cross multiply
    405,173x = 888,100 × 888,100
  4. Step 4: Simplify right side
    405,173x = 788,721,610,000
  5. Step 5: Solve for x
    x = 788,721,610,000/405,173
  6. Step 6: Final answer
    x = 1,946,629.24

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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.