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Finding the Third Proportional to 419,608.13 and 905,554.13

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Solution

The third proportional to 419,608.13 and 905,554.13 is: 1,954,271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,608.13 : 905,554.13 = 905,554.13 : x
  2. Step 2: Convert to fraction form
    419,608.13/905,554.13 = 905,554.13/x
  3. Step 3: Cross multiply
    419,608.13x = 905,554.13 × 905,554.13
  4. Step 4: Simplify right side
    419,608.13x = 820,028,273,304.52
  5. Step 5: Solve for x
    x = 820,028,273,304.52/419,608.13
  6. Step 6: Final answer
    x = 1,954,271.68

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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.