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Finding the Third Proportional to 480,226 and 1,034,936

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Solution

The third proportional to 480,226 and 1,034,936 is: 2,230,392.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,226 : 1,034,936 = 1,034,936 : x
  2. Step 2: Convert to fraction form
    480,226/1,034,936 = 1,034,936/x
  3. Step 3: Cross multiply
    480,226x = 1,034,936 × 1,034,936
  4. Step 4: Simplify right side
    480,226x = 1,071,092,524,096
  5. Step 5: Solve for x
    x = 1,071,092,524,096/480,226
  6. Step 6: Final answer
    x = 2,230,392.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.