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Finding the Third Proportional to 504,408 and 1,107,096

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Solution

The third proportional to 504,408 and 1,107,096 is: 2,429,901.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,408 : 1,107,096 = 1,107,096 : x
  2. Step 2: Convert to fraction form
    504,408/1,107,096 = 1,107,096/x
  3. Step 3: Cross multiply
    504,408x = 1,107,096 × 1,107,096
  4. Step 4: Simplify right side
    504,408x = 1,225,661,553,216
  5. Step 5: Solve for x
    x = 1,225,661,553,216/504,408
  6. Step 6: Final answer
    x = 2,429,901.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.