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Finding the Third Proportional to 972,945 and 2,072,181

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Solution

The third proportional to 972,945 and 2,072,181 is: 4,413,336.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,945 : 2,072,181 = 2,072,181 : x
  2. Step 2: Convert to fraction form
    972,945/2,072,181 = 2,072,181/x
  3. Step 3: Cross multiply
    972,945x = 2,072,181 × 2,072,181
  4. Step 4: Simplify right side
    972,945x = 4,293,934,096,761
  5. Step 5: Solve for x
    x = 4,293,934,096,761/972,945
  6. Step 6: Final answer
    x = 4,413,336.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.