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Finding the Third Proportional to 622,089 and 1,364,705

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Solution

The third proportional to 622,089 and 1,364,705 is: 2,993,815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,089 : 1,364,705 = 1,364,705 : x
  2. Step 2: Convert to fraction form
    622,089/1,364,705 = 1,364,705/x
  3. Step 3: Cross multiply
    622,089x = 1,364,705 × 1,364,705
  4. Step 4: Simplify right side
    622,089x = 1,862,419,737,025
  5. Step 5: Solve for x
    x = 1,862,419,737,025/622,089
  6. Step 6: Final answer
    x = 2,993,815.57

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Why These Related Problems?

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