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Finding the Third Proportional to 688,186 and 1,619,356

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Solution

The third proportional to 688,186 and 1,619,356 is: 3,810,472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,186 : 1,619,356 = 1,619,356 : x
  2. Step 2: Convert to fraction form
    688,186/1,619,356 = 1,619,356/x
  3. Step 3: Cross multiply
    688,186x = 1,619,356 × 1,619,356
  4. Step 4: Simplify right side
    688,186x = 2,622,313,854,736
  5. Step 5: Solve for x
    x = 2,622,313,854,736/688,186
  6. Step 6: Final answer
    x = 3,810,472.54

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.