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Finding the Third Proportional to 523,252 and 1,130,126

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Solution

The third proportional to 523,252 and 1,130,126 is: 2,440,859.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,252 : 1,130,126 = 1,130,126 : x
  2. Step 2: Convert to fraction form
    523,252/1,130,126 = 1,130,126/x
  3. Step 3: Cross multiply
    523,252x = 1,130,126 × 1,130,126
  4. Step 4: Simplify right side
    523,252x = 1,277,184,775,876
  5. Step 5: Solve for x
    x = 1,277,184,775,876/523,252
  6. Step 6: Final answer
    x = 2,440,859.81

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Why These Related Problems?

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