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Finding the Third Proportional to 422,146 and 888,026

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Solution

The third proportional to 422,146 and 888,026 is: 1,868,050.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,146 : 888,026 = 888,026 : x
  2. Step 2: Convert to fraction form
    422,146/888,026 = 888,026/x
  3. Step 3: Cross multiply
    422,146x = 888,026 × 888,026
  4. Step 4: Simplify right side
    422,146x = 788,590,176,676
  5. Step 5: Solve for x
    x = 788,590,176,676/422,146
  6. Step 6: Final answer
    x = 1,868,050.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.