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Finding the Third Proportional to 958,623 and 1,467,022.50

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Solution

The third proportional to 958,623 and 1,467,022.50 is: 2,245,048.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    958,623 : 1,467,022.50 = 1,467,022.50 : x
  2. Step 2: Convert to fraction form
    958,623/1,467,022.50 = 1,467,022.50/x
  3. Step 3: Cross multiply
    958,623x = 1,467,022.50 × 1,467,022.50
  4. Step 4: Simplify right side
    958,623x = 2,152,155,015,506.25
  5. Step 5: Solve for x
    x = 2,152,155,015,506.25/958,623
  6. Step 6: Final answer
    x = 2,245,048.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.