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Finding the Third Proportional to 597,458 and 1,289,997

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Solution

The third proportional to 597,458 and 1,289,997 is: 2,785,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,458 : 1,289,997 = 1,289,997 : x
  2. Step 2: Convert to fraction form
    597,458/1,289,997 = 1,289,997/x
  3. Step 3: Cross multiply
    597,458x = 1,289,997 × 1,289,997
  4. Step 4: Simplify right side
    597,458x = 1,664,092,260,009
  5. Step 5: Solve for x
    x = 1,664,092,260,009/597,458
  6. Step 6: Final answer
    x = 2,785,287.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.