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Finding the Third Proportional to 597,907 and 1,275,636

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Solution

The third proportional to 597,907 and 1,275,636 is: 2,721,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,907 : 1,275,636 = 1,275,636 : x
  2. Step 2: Convert to fraction form
    597,907/1,275,636 = 1,275,636/x
  3. Step 3: Cross multiply
    597,907x = 1,275,636 × 1,275,636
  4. Step 4: Simplify right side
    597,907x = 1,627,247,204,496
  5. Step 5: Solve for x
    x = 1,627,247,204,496/597,907
  6. Step 6: Final answer
    x = 2,721,572.43

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.