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Finding the Third Proportional to 685,632 and 1,476,628

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Solution

The third proportional to 685,632 and 1,476,628 is: 3,180,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,632 : 1,476,628 = 1,476,628 : x
  2. Step 2: Convert to fraction form
    685,632/1,476,628 = 1,476,628/x
  3. Step 3: Cross multiply
    685,632x = 1,476,628 × 1,476,628
  4. Step 4: Simplify right side
    685,632x = 2,180,430,250,384
  5. Step 5: Solve for x
    x = 2,180,430,250,384/685,632
  6. Step 6: Final answer
    x = 3,180,175.74

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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.