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Finding the Third Proportional to 907,232 and 1,972,096

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Solution

The third proportional to 907,232 and 1,972,096 is: 4,286,844.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,232 : 1,972,096 = 1,972,096 : x
  2. Step 2: Convert to fraction form
    907,232/1,972,096 = 1,972,096/x
  3. Step 3: Cross multiply
    907,232x = 1,972,096 × 1,972,096
  4. Step 4: Simplify right side
    907,232x = 3,889,162,633,216
  5. Step 5: Solve for x
    x = 3,889,162,633,216/907,232
  6. Step 6: Final answer
    x = 4,286,844.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.