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Finding the Third Proportional to 628,024 and 1,375,478

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Solution

The third proportional to 628,024 and 1,375,478 is: 3,012,527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,024 : 1,375,478 = 1,375,478 : x
  2. Step 2: Convert to fraction form
    628,024/1,375,478 = 1,375,478/x
  3. Step 3: Cross multiply
    628,024x = 1,375,478 × 1,375,478
  4. Step 4: Simplify right side
    628,024x = 1,891,939,728,484
  5. Step 5: Solve for x
    x = 1,891,939,728,484/628,024
  6. Step 6: Final answer
    x = 3,012,527.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.