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Finding the Third Proportional to 591,046 and 1,224,134

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Solution

The third proportional to 591,046 and 1,224,134 is: 2,535,342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,046 : 1,224,134 = 1,224,134 : x
  2. Step 2: Convert to fraction form
    591,046/1,224,134 = 1,224,134/x
  3. Step 3: Cross multiply
    591,046x = 1,224,134 × 1,224,134
  4. Step 4: Simplify right side
    591,046x = 1,498,504,049,956
  5. Step 5: Solve for x
    x = 1,498,504,049,956/591,046
  6. Step 6: Final answer
    x = 2,535,342.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.