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Finding the Third Proportional to 967,052 and 2,106,152

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Solution

The third proportional to 967,052 and 2,106,152 is: 4,587,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,052 : 2,106,152 = 2,106,152 : x
  2. Step 2: Convert to fraction form
    967,052/2,106,152 = 2,106,152/x
  3. Step 3: Cross multiply
    967,052x = 2,106,152 × 2,106,152
  4. Step 4: Simplify right side
    967,052x = 4,435,876,247,104
  5. Step 5: Solve for x
    x = 4,435,876,247,104/967,052
  6. Step 6: Final answer
    x = 4,587,009.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.