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Finding the Third Proportional to 2,399,630 and 3,374,913

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Solution

The third proportional to 2,399,630 and 3,374,913 is: 4,746,580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399,630 : 3,374,913 = 3,374,913 : x
  2. Step 2: Convert to fraction form
    2,399,630/3,374,913 = 3,374,913/x
  3. Step 3: Cross multiply
    2,399,630x = 3,374,913 × 3,374,913
  4. Step 4: Simplify right side
    2,399,630x = 11,390,037,757,569
  5. Step 5: Solve for x
    x = 11,390,037,757,569/2,399,630
  6. Step 6: Final answer
    x = 4,746,580.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.