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Finding the Third Proportional to 1,237,479.38 and 1,969,092.75

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Solution

The third proportional to 1,237,479.38 and 1,969,092.75 is: 3,133,245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237,479.38 : 1,969,092.75 = 1,969,092.75 : x
  2. Step 2: Convert to fraction form
    1,237,479.38/1,969,092.75 = 1,969,092.75/x
  3. Step 3: Cross multiply
    1,237,479.38x = 1,969,092.75 × 1,969,092.75
  4. Step 4: Simplify right side
    1,237,479.38x = 3,877,326,258,102.56
  5. Step 5: Solve for x
    x = 3,877,326,258,102.56/1,237,479.38
  6. Step 6: Final answer
    x = 3,133,245.16

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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.