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Finding the Third Proportional to 923,242 and 1,460,667

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Solution

The third proportional to 923,242 and 1,460,667 is: 2,310,930.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,242 : 1,460,667 = 1,460,667 : x
  2. Step 2: Convert to fraction form
    923,242/1,460,667 = 1,460,667/x
  3. Step 3: Cross multiply
    923,242x = 1,460,667 × 1,460,667
  4. Step 4: Simplify right side
    923,242x = 2,133,548,084,889
  5. Step 5: Solve for x
    x = 2,133,548,084,889/923,242
  6. Step 6: Final answer
    x = 2,310,930.49

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.