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Finding the Third Proportional to 417,170 and 917,260

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Solution

The third proportional to 417,170 and 917,260 is: 2,016,841.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,170 : 917,260 = 917,260 : x
  2. Step 2: Convert to fraction form
    417,170/917,260 = 917,260/x
  3. Step 3: Cross multiply
    417,170x = 917,260 × 917,260
  4. Step 4: Simplify right side
    417,170x = 841,365,907,600
  5. Step 5: Solve for x
    x = 841,365,907,600/417,170
  6. Step 6: Final answer
    x = 2,016,841.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.