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Finding the Third Proportional to 828,078 and 1,774,200

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Solution

The third proportional to 828,078 and 1,774,200 is: 3,801,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,078 : 1,774,200 = 1,774,200 : x
  2. Step 2: Convert to fraction form
    828,078/1,774,200 = 1,774,200/x
  3. Step 3: Cross multiply
    828,078x = 1,774,200 × 1,774,200
  4. Step 4: Simplify right side
    828,078x = 3,147,785,640,000
  5. Step 5: Solve for x
    x = 3,147,785,640,000/828,078
  6. Step 6: Final answer
    x = 3,801,315.38

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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.