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Finding the Third Proportional to 419,055.47 and 905,092.03

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Solution

The third proportional to 419,055.47 and 905,092.03 is: 1,954,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,055.47 : 905,092.03 = 905,092.03 : x
  2. Step 2: Convert to fraction form
    419,055.47/905,092.03 = 905,092.03/x
  3. Step 3: Cross multiply
    419,055.47x = 905,092.03 × 905,092.03
  4. Step 4: Simplify right side
    419,055.47x = 819,191,585,032.25
  5. Step 5: Solve for x
    x = 819,191,585,032.25/419,055.47
  6. Step 6: Final answer
    x = 1,954,852.39

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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.