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Finding the Third Proportional to 412,830.42 and 909,461.67

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Solution

The third proportional to 412,830.42 and 909,461.67 is: 2,003,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,830.42 : 909,461.67 = 909,461.67 : x
  2. Step 2: Convert to fraction form
    412,830.42/909,461.67 = 909,461.67/x
  3. Step 3: Cross multiply
    412,830.42x = 909,461.67 × 909,461.67
  4. Step 4: Simplify right side
    412,830.42x = 827,120,532,609.67
  5. Step 5: Solve for x
    x = 827,120,532,609.67/412,830.42
  6. Step 6: Final answer
    x = 2,003,535.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.