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Finding the Third Proportional to 736,896 and 1,126,728

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Solution

The third proportional to 736,896 and 1,126,728 is: 1,722,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,896 : 1,126,728 = 1,126,728 : x
  2. Step 2: Convert to fraction form
    736,896/1,126,728 = 1,126,728/x
  3. Step 3: Cross multiply
    736,896x = 1,126,728 × 1,126,728
  4. Step 4: Simplify right side
    736,896x = 1,269,515,985,984
  5. Step 5: Solve for x
    x = 1,269,515,985,984/736,896
  6. Step 6: Final answer
    x = 1,722,788.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.