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Finding the Third Proportional to 610,923 and 1,342,038

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Solution

The third proportional to 610,923 and 1,342,038 is: 2,948,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,923 : 1,342,038 = 1,342,038 : x
  2. Step 2: Convert to fraction form
    610,923/1,342,038 = 1,342,038/x
  3. Step 3: Cross multiply
    610,923x = 1,342,038 × 1,342,038
  4. Step 4: Simplify right side
    610,923x = 1,801,065,993,444
  5. Step 5: Solve for x
    x = 1,801,065,993,444/610,923
  6. Step 6: Final answer
    x = 2,948,106.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.