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Finding the Third Proportional to 656,874 and 1,436,436

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Solution

The third proportional to 656,874 and 1,436,436 is: 3,141,163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,874 : 1,436,436 = 1,436,436 : x
  2. Step 2: Convert to fraction form
    656,874/1,436,436 = 1,436,436/x
  3. Step 3: Cross multiply
    656,874x = 1,436,436 × 1,436,436
  4. Step 4: Simplify right side
    656,874x = 2,063,348,382,096
  5. Step 5: Solve for x
    x = 2,063,348,382,096/656,874
  6. Step 6: Final answer
    x = 3,141,163.12

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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.