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Finding the Third Proportional to 965,668.50 and 1,492,890.75

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Solution

The third proportional to 965,668.50 and 1,492,890.75 is: 2,307,958.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,668.50 : 1,492,890.75 = 1,492,890.75 : x
  2. Step 2: Convert to fraction form
    965,668.50/1,492,890.75 = 1,492,890.75/x
  3. Step 3: Cross multiply
    965,668.50x = 1,492,890.75 × 1,492,890.75
  4. Step 4: Simplify right side
    965,668.50x = 2,228,722,791,435.56
  5. Step 5: Solve for x
    x = 2,228,722,791,435.56/965,668.50
  6. Step 6: Final answer
    x = 2,307,958.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.