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Finding the Third Proportional to 416,172 and 909,396

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Solution

The third proportional to 416,172 and 909,396 is: 1,987,161.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,172 : 909,396 = 909,396 : x
  2. Step 2: Convert to fraction form
    416,172/909,396 = 909,396/x
  3. Step 3: Cross multiply
    416,172x = 909,396 × 909,396
  4. Step 4: Simplify right side
    416,172x = 827,001,084,816
  5. Step 5: Solve for x
    x = 827,001,084,816/416,172
  6. Step 6: Final answer
    x = 1,987,161.76

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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.