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Finding the Third Proportional to 824,575.50 and 1,790,154

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Solution

The third proportional to 824,575.50 and 1,790,154 is: 3,886,425.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,575.50 : 1,790,154 = 1,790,154 : x
  2. Step 2: Convert to fraction form
    824,575.50/1,790,154 = 1,790,154/x
  3. Step 3: Cross multiply
    824,575.50x = 1,790,154 × 1,790,154
  4. Step 4: Simplify right side
    824,575.50x = 3,204,651,343,716
  5. Step 5: Solve for x
    x = 3,204,651,343,716/824,575.50
  6. Step 6: Final answer
    x = 3,886,425.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.