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Finding the Third Proportional to 685,803.38 and 1,507,356

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Solution

The third proportional to 685,803.38 and 1,507,356 is: 3,313,080.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,803.38 : 1,507,356 = 1,507,356 : x
  2. Step 2: Convert to fraction form
    685,803.38/1,507,356 = 1,507,356/x
  3. Step 3: Cross multiply
    685,803.38x = 1,507,356 × 1,507,356
  4. Step 4: Simplify right side
    685,803.38x = 2,272,122,110,736
  5. Step 5: Solve for x
    x = 2,272,122,110,736/685,803.38
  6. Step 6: Final answer
    x = 3,313,080.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.