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Finding the Third Proportional to 633,794 and 922,083

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Solution

The third proportional to 633,794 and 922,083 is: 1,341,503.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,794 : 922,083 = 922,083 : x
  2. Step 2: Convert to fraction form
    633,794/922,083 = 922,083/x
  3. Step 3: Cross multiply
    633,794x = 922,083 × 922,083
  4. Step 4: Simplify right side
    633,794x = 850,237,058,889
  5. Step 5: Solve for x
    x = 850,237,058,889/633,794
  6. Step 6: Final answer
    x = 1,341,503.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.