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Finding the Third Proportional to 424,923 and 912,996.75

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Solution

The third proportional to 424,923 and 912,996.75 is: 1,961,680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,923 : 912,996.75 = 912,996.75 : x
  2. Step 2: Convert to fraction form
    424,923/912,996.75 = 912,996.75/x
  3. Step 3: Cross multiply
    424,923x = 912,996.75 × 912,996.75
  4. Step 4: Simplify right side
    424,923x = 833,563,065,510.56
  5. Step 5: Solve for x
    x = 833,563,065,510.56/424,923
  6. Step 6: Final answer
    x = 1,961,680.27

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Why These Related Problems?

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