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Finding the Third Proportional to 886,128 and 1,898,256

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Solution

The third proportional to 886,128 and 1,898,256 is: 4,066,428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,128 : 1,898,256 = 1,898,256 : x
  2. Step 2: Convert to fraction form
    886,128/1,898,256 = 1,898,256/x
  3. Step 3: Cross multiply
    886,128x = 1,898,256 × 1,898,256
  4. Step 4: Simplify right side
    886,128x = 3,603,375,841,536
  5. Step 5: Solve for x
    x = 3,603,375,841,536/886,128
  6. Step 6: Final answer
    x = 4,066,428.15

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.