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Finding the Third Proportional to 421,922.25 and 909,812.25

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Solution

The third proportional to 421,922.25 and 909,812.25 is: 1,961,874.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,922.25 : 909,812.25 = 909,812.25 : x
  2. Step 2: Convert to fraction form
    421,922.25/909,812.25 = 909,812.25/x
  3. Step 3: Cross multiply
    421,922.25x = 909,812.25 × 909,812.25
  4. Step 4: Simplify right side
    421,922.25x = 827,758,330,250.06
  5. Step 5: Solve for x
    x = 827,758,330,250.06/421,922.25
  6. Step 6: Final answer
    x = 1,961,874.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.