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Finding the Third Proportional to 2,407,769 and 5,014,829

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Solution

The third proportional to 2,407,769 and 5,014,829 is: 10,444,735.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407,769 : 5,014,829 = 5,014,829 : x
  2. Step 2: Convert to fraction form
    2,407,769/5,014,829 = 5,014,829/x
  3. Step 3: Cross multiply
    2,407,769x = 5,014,829 × 5,014,829
  4. Step 4: Simplify right side
    2,407,769x = 25,148,509,899,241
  5. Step 5: Solve for x
    x = 25,148,509,899,241/2,407,769
  6. Step 6: Final answer
    x = 10,444,735.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.