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Finding the Third Proportional to 442,460 and 1,040,054

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Solution

The third proportional to 442,460 and 1,040,054 is: 2,444,768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,460 : 1,040,054 = 1,040,054 : x
  2. Step 2: Convert to fraction form
    442,460/1,040,054 = 1,040,054/x
  3. Step 3: Cross multiply
    442,460x = 1,040,054 × 1,040,054
  4. Step 4: Simplify right side
    442,460x = 1,081,712,322,916
  5. Step 5: Solve for x
    x = 1,081,712,322,916/442,460
  6. Step 6: Final answer
    x = 2,444,768.62

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.