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Finding the Third Proportional to 605,408 and 1,284,613

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Solution

The third proportional to 605,408 and 1,284,613 is: 2,725,815.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,408 : 1,284,613 = 1,284,613 : x
  2. Step 2: Convert to fraction form
    605,408/1,284,613 = 1,284,613/x
  3. Step 3: Cross multiply
    605,408x = 1,284,613 × 1,284,613
  4. Step 4: Simplify right side
    605,408x = 1,650,230,559,769
  5. Step 5: Solve for x
    x = 1,650,230,559,769/605,408
  6. Step 6: Final answer
    x = 2,725,815.58

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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.