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Finding the Third Proportional to 790,806.75 and 1,225,535.63

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Solution

The third proportional to 790,806.75 and 1,225,535.63 is: 1,899,247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,806.75 : 1,225,535.63 = 1,225,535.63 : x
  2. Step 2: Convert to fraction form
    790,806.75/1,225,535.63 = 1,225,535.63/x
  3. Step 3: Cross multiply
    790,806.75x = 1,225,535.63 × 1,225,535.63
  4. Step 4: Simplify right side
    790,806.75x = 1,501,937,568,144.14
  5. Step 5: Solve for x
    x = 1,501,937,568,144.14/790,806.75
  6. Step 6: Final answer
    x = 1,899,247.28

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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.