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Finding the Third Proportional to 470,622.66 and 969,099.19

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Solution

The third proportional to 470,622.66 and 969,099.19 is: 1,995,554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,622.66 : 969,099.19 = 969,099.19 : x
  2. Step 2: Convert to fraction form
    470,622.66/969,099.19 = 969,099.19/x
  3. Step 3: Cross multiply
    470,622.66x = 969,099.19 × 969,099.19
  4. Step 4: Simplify right side
    470,622.66x = 939,153,235,213.16
  5. Step 5: Solve for x
    x = 939,153,235,213.16/470,622.66
  6. Step 6: Final answer
    x = 1,995,554.66

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.