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Finding the Third Proportional to 746,160.75 and 1,598,769

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Solution

The third proportional to 746,160.75 and 1,598,769 is: 3,425,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,160.75 : 1,598,769 = 1,598,769 : x
  2. Step 2: Convert to fraction form
    746,160.75/1,598,769 = 1,598,769/x
  3. Step 3: Cross multiply
    746,160.75x = 1,598,769 × 1,598,769
  4. Step 4: Simplify right side
    746,160.75x = 2,556,062,315,361
  5. Step 5: Solve for x
    x = 2,556,062,315,361/746,160.75
  6. Step 6: Final answer
    x = 3,425,618.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.