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Finding the Third Proportional to 517,600 and 1,097,408

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Solution

The third proportional to 517,600 and 1,097,408 is: 2,326,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,600 : 1,097,408 = 1,097,408 : x
  2. Step 2: Convert to fraction form
    517,600/1,097,408 = 1,097,408/x
  3. Step 3: Cross multiply
    517,600x = 1,097,408 × 1,097,408
  4. Step 4: Simplify right side
    517,600x = 1,204,304,318,464
  5. Step 5: Solve for x
    x = 1,204,304,318,464/517,600
  6. Step 6: Final answer
    x = 2,326,708.50

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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.