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Finding the Third Proportional to 591,142 and 1,224,324

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Solution

The third proportional to 591,142 and 1,224,324 is: 2,535,717.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,142 : 1,224,324 = 1,224,324 : x
  2. Step 2: Convert to fraction form
    591,142/1,224,324 = 1,224,324/x
  3. Step 3: Cross multiply
    591,142x = 1,224,324 × 1,224,324
  4. Step 4: Simplify right side
    591,142x = 1,498,969,256,976
  5. Step 5: Solve for x
    x = 1,498,969,256,976/591,142
  6. Step 6: Final answer
    x = 2,535,717.74

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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.