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Finding the Third Proportional to 1,969,584 and 4,284,258.38

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Solution

The third proportional to 1,969,584 and 4,284,258.38 is: 9,319,160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969,584 : 4,284,258.38 = 4,284,258.38 : x
  2. Step 2: Convert to fraction form
    1,969,584/4,284,258.38 = 4,284,258.38/x
  3. Step 3: Cross multiply
    1,969,584x = 4,284,258.38 × 4,284,258.38
  4. Step 4: Simplify right side
    1,969,584x = 18,354,869,823,757.64
  5. Step 5: Solve for x
    x = 18,354,869,823,757.64/1,969,584
  6. Step 6: Final answer
    x = 9,319,160.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.