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Finding the Third Proportional to 491,134 and 1,054,025

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Solution

The third proportional to 491,134 and 1,054,025 is: 2,262,048.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,134 : 1,054,025 = 1,054,025 : x
  2. Step 2: Convert to fraction form
    491,134/1,054,025 = 1,054,025/x
  3. Step 3: Cross multiply
    491,134x = 1,054,025 × 1,054,025
  4. Step 4: Simplify right side
    491,134x = 1,110,968,700,625
  5. Step 5: Solve for x
    x = 1,110,968,700,625/491,134
  6. Step 6: Final answer
    x = 2,262,048.04

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.