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Finding the Third Proportional to 685,776 and 1,473,600

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Solution

The third proportional to 685,776 and 1,473,600 is: 3,166,481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,776 : 1,473,600 = 1,473,600 : x
  2. Step 2: Convert to fraction form
    685,776/1,473,600 = 1,473,600/x
  3. Step 3: Cross multiply
    685,776x = 1,473,600 × 1,473,600
  4. Step 4: Simplify right side
    685,776x = 2,171,496,960,000
  5. Step 5: Solve for x
    x = 2,171,496,960,000/685,776
  6. Step 6: Final answer
    x = 3,166,481.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.