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Finding the Third Proportional to 898,128 and 1,945,742

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Solution

The third proportional to 898,128 and 1,945,742 is: 4,215,336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,128 : 1,945,742 = 1,945,742 : x
  2. Step 2: Convert to fraction form
    898,128/1,945,742 = 1,945,742/x
  3. Step 3: Cross multiply
    898,128x = 1,945,742 × 1,945,742
  4. Step 4: Simplify right side
    898,128x = 3,785,911,930,564
  5. Step 5: Solve for x
    x = 3,785,911,930,564/898,128
  6. Step 6: Final answer
    x = 4,215,336.71

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