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Finding the Third Proportional to 662,872 and 1,020,188

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Solution

The third proportional to 662,872 and 1,020,188 is: 1,570,112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,872 : 1,020,188 = 1,020,188 : x
  2. Step 2: Convert to fraction form
    662,872/1,020,188 = 1,020,188/x
  3. Step 3: Cross multiply
    662,872x = 1,020,188 × 1,020,188
  4. Step 4: Simplify right side
    662,872x = 1,040,783,555,344
  5. Step 5: Solve for x
    x = 1,040,783,555,344/662,872
  6. Step 6: Final answer
    x = 1,570,112.41

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.