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Finding the Third Proportional to 437,562 and 956,106

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Solution

The third proportional to 437,562 and 956,106 is: 2,089,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,562 : 956,106 = 956,106 : x
  2. Step 2: Convert to fraction form
    437,562/956,106 = 956,106/x
  3. Step 3: Cross multiply
    437,562x = 956,106 × 956,106
  4. Step 4: Simplify right side
    437,562x = 914,138,683,236
  5. Step 5: Solve for x
    x = 914,138,683,236/437,562
  6. Step 6: Final answer
    x = 2,089,163.78

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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.