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Finding the Third Proportional to 674,176 and 1,556,800

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Solution

The third proportional to 674,176 and 1,556,800 is: 3,594,945.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,176 : 1,556,800 = 1,556,800 : x
  2. Step 2: Convert to fraction form
    674,176/1,556,800 = 1,556,800/x
  3. Step 3: Cross multiply
    674,176x = 1,556,800 × 1,556,800
  4. Step 4: Simplify right side
    674,176x = 2,423,626,240,000
  5. Step 5: Solve for x
    x = 2,423,626,240,000/674,176
  6. Step 6: Final answer
    x = 3,594,945.89

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.