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Finding the Third Proportional to 2,998,424 and 4,768,770

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Solution

The third proportional to 2,998,424 and 4,768,770 is: 7,584,373.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998,424 : 4,768,770 = 4,768,770 : x
  2. Step 2: Convert to fraction form
    2,998,424/4,768,770 = 4,768,770/x
  3. Step 3: Cross multiply
    2,998,424x = 4,768,770 × 4,768,770
  4. Step 4: Simplify right side
    2,998,424x = 22,741,167,312,900
  5. Step 5: Solve for x
    x = 22,741,167,312,900/2,998,424
  6. Step 6: Final answer
    x = 7,584,373.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.