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Finding the Third Proportional to 645,100 and 1,024,673

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Solution

The third proportional to 645,100 and 1,024,673 is: 1,627,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,100 : 1,024,673 = 1,024,673 : x
  2. Step 2: Convert to fraction form
    645,100/1,024,673 = 1,024,673/x
  3. Step 3: Cross multiply
    645,100x = 1,024,673 × 1,024,673
  4. Step 4: Simplify right side
    645,100x = 1,049,954,756,929
  5. Step 5: Solve for x
    x = 1,049,954,756,929/645,100
  6. Step 6: Final answer
    x = 1,627,584.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.