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Finding the Third Proportional to 869,960.25 and 1,330,941.38

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Solution

The third proportional to 869,960.25 and 1,330,941.38 is: 2,036,190.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,960.25 : 1,330,941.38 = 1,330,941.38 : x
  2. Step 2: Convert to fraction form
    869,960.25/1,330,941.38 = 1,330,941.38/x
  3. Step 3: Cross multiply
    869,960.25x = 1,330,941.38 × 1,330,941.38
  4. Step 4: Simplify right side
    869,960.25x = 1,771,404,943,686.89
  5. Step 5: Solve for x
    x = 1,771,404,943,686.89/869,960.25
  6. Step 6: Final answer
    x = 2,036,190.67

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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.