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Finding the Third Proportional to 1,305,663.75 and 1,997,133.75

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Solution

The third proportional to 1,305,663.75 and 1,997,133.75 is: 3,054,801.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305,663.75 : 1,997,133.75 = 1,997,133.75 : x
  2. Step 2: Convert to fraction form
    1,305,663.75/1,997,133.75 = 1,997,133.75/x
  3. Step 3: Cross multiply
    1,305,663.75x = 1,997,133.75 × 1,997,133.75
  4. Step 4: Simplify right side
    1,305,663.75x = 3,988,543,215,389.06
  5. Step 5: Solve for x
    x = 3,988,543,215,389.06/1,305,663.75
  6. Step 6: Final answer
    x = 3,054,801.22

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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.