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Finding the Third Proportional to 3,609,234 and 5,078,119

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Solution

The third proportional to 3,609,234 and 5,078,119 is: 7,144,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609,234 : 5,078,119 = 5,078,119 : x
  2. Step 2: Convert to fraction form
    3,609,234/5,078,119 = 5,078,119/x
  3. Step 3: Cross multiply
    3,609,234x = 5,078,119 × 5,078,119
  4. Step 4: Simplify right side
    3,609,234x = 25,787,292,578,161
  5. Step 5: Solve for x
    x = 25,787,292,578,161/3,609,234
  6. Step 6: Final answer
    x = 7,144,810.39

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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.