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Finding the Third Proportional to 1,100,243.25 and 1,683,055.97

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Solution

The third proportional to 1,100,243.25 and 1,683,055.97 is: 2,574,591.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,243.25 : 1,683,055.97 = 1,683,055.97 : x
  2. Step 2: Convert to fraction form
    1,100,243.25/1,683,055.97 = 1,683,055.97/x
  3. Step 3: Cross multiply
    1,100,243.25x = 1,683,055.97 × 1,683,055.97
  4. Step 4: Simplify right side
    1,100,243.25x = 2,832,677,393,945.00
  5. Step 5: Solve for x
    x = 2,832,677,393,945.00/1,100,243.25
  6. Step 6: Final answer
    x = 2,574,591.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.