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Finding the Third Proportional to 762,675.75 and 1,045,806.75

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Solution

The third proportional to 762,675.75 and 1,045,806.75 is: 1,434,045.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,675.75 : 1,045,806.75 = 1,045,806.75 : x
  2. Step 2: Convert to fraction form
    762,675.75/1,045,806.75 = 1,045,806.75/x
  3. Step 3: Cross multiply
    762,675.75x = 1,045,806.75 × 1,045,806.75
  4. Step 4: Simplify right side
    762,675.75x = 1,093,711,758,345.56
  5. Step 5: Solve for x
    x = 1,093,711,758,345.56/762,675.75
  6. Step 6: Final answer
    x = 1,434,045.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.