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Finding the Third Proportional to 858,644 and 1,883,176

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Solution

The third proportional to 858,644 and 1,883,176 is: 4,130,177.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,644 : 1,883,176 = 1,883,176 : x
  2. Step 2: Convert to fraction form
    858,644/1,883,176 = 1,883,176/x
  3. Step 3: Cross multiply
    858,644x = 1,883,176 × 1,883,176
  4. Step 4: Simplify right side
    858,644x = 3,546,351,846,976
  5. Step 5: Solve for x
    x = 3,546,351,846,976/858,644
  6. Step 6: Final answer
    x = 4,130,177.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.