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Finding the Third Proportional to 645,540 and 1,378,932

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Solution

The third proportional to 645,540 and 1,378,932 is: 2,945,523.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,540 : 1,378,932 = 1,378,932 : x
  2. Step 2: Convert to fraction form
    645,540/1,378,932 = 1,378,932/x
  3. Step 3: Cross multiply
    645,540x = 1,378,932 × 1,378,932
  4. Step 4: Simplify right side
    645,540x = 1,901,453,460,624
  5. Step 5: Solve for x
    x = 1,901,453,460,624/645,540
  6. Step 6: Final answer
    x = 2,945,523.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.