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Finding the Third Proportional to 734,908 and 1,040,178

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Solution

The third proportional to 734,908 and 1,040,178 is: 1,472,252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,908 : 1,040,178 = 1,040,178 : x
  2. Step 2: Convert to fraction form
    734,908/1,040,178 = 1,040,178/x
  3. Step 3: Cross multiply
    734,908x = 1,040,178 × 1,040,178
  4. Step 4: Simplify right side
    734,908x = 1,081,970,271,684
  5. Step 5: Solve for x
    x = 1,081,970,271,684/734,908
  6. Step 6: Final answer
    x = 1,472,252.68

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.