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Finding the Third Proportional to 675,862 and 1,451,564

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Solution

The third proportional to 675,862 and 1,451,564 is: 3,117,556.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,862 : 1,451,564 = 1,451,564 : x
  2. Step 2: Convert to fraction form
    675,862/1,451,564 = 1,451,564/x
  3. Step 3: Cross multiply
    675,862x = 1,451,564 × 1,451,564
  4. Step 4: Simplify right side
    675,862x = 2,107,038,046,096
  5. Step 5: Solve for x
    x = 2,107,038,046,096/675,862
  6. Step 6: Final answer
    x = 3,117,556.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.