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Finding the Third Proportional to 905,440.78 and 1,918,831.78

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Solution

The third proportional to 905,440.78 and 1,918,831.78 is: 4,066,434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,440.78 : 1,918,831.78 = 1,918,831.78 : x
  2. Step 2: Convert to fraction form
    905,440.78/1,918,831.78 = 1,918,831.78/x
  3. Step 3: Cross multiply
    905,440.78x = 1,918,831.78 × 1,918,831.78
  4. Step 4: Simplify right side
    905,440.78x = 3,681,915,404,735.05
  5. Step 5: Solve for x
    x = 3,681,915,404,735.05/905,440.78
  6. Step 6: Final answer
    x = 4,066,434.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.