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Finding the Third Proportional to 992,144 and 1,573,077

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Solution

The third proportional to 992,144 and 1,573,077 is: 2,494,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,144 : 1,573,077 = 1,573,077 : x
  2. Step 2: Convert to fraction form
    992,144/1,573,077 = 1,573,077/x
  3. Step 3: Cross multiply
    992,144x = 1,573,077 × 1,573,077
  4. Step 4: Simplify right side
    992,144x = 2,474,571,247,929
  5. Step 5: Solve for x
    x = 2,474,571,247,929/992,144
  6. Step 6: Final answer
    x = 2,494,165.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.