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Finding the Third Proportional to 524,884 and 1,115,378

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Solution

The third proportional to 524,884 and 1,115,378 is: 2,370,177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,884 : 1,115,378 = 1,115,378 : x
  2. Step 2: Convert to fraction form
    524,884/1,115,378 = 1,115,378/x
  3. Step 3: Cross multiply
    524,884x = 1,115,378 × 1,115,378
  4. Step 4: Simplify right side
    524,884x = 1,244,068,082,884
  5. Step 5: Solve for x
    x = 1,244,068,082,884/524,884
  6. Step 6: Final answer
    x = 2,370,177.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.