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Finding the Third Proportional to 523,262 and 1,135,462

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Solution

The third proportional to 523,262 and 1,135,462 is: 2,463,916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,262 : 1,135,462 = 1,135,462 : x
  2. Step 2: Convert to fraction form
    523,262/1,135,462 = 1,135,462/x
  3. Step 3: Cross multiply
    523,262x = 1,135,462 × 1,135,462
  4. Step 4: Simplify right side
    523,262x = 1,289,273,953,444
  5. Step 5: Solve for x
    x = 1,289,273,953,444/523,262
  6. Step 6: Final answer
    x = 2,463,916.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.