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Finding the Third Proportional to 782,406 and 1,668,159

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Solution

The third proportional to 782,406 and 1,668,159 is: 3,556,662.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,406 : 1,668,159 = 1,668,159 : x
  2. Step 2: Convert to fraction form
    782,406/1,668,159 = 1,668,159/x
  3. Step 3: Cross multiply
    782,406x = 1,668,159 × 1,668,159
  4. Step 4: Simplify right side
    782,406x = 2,782,754,449,281
  5. Step 5: Solve for x
    x = 2,782,754,449,281/782,406
  6. Step 6: Final answer
    x = 3,556,662.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.