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Finding the Third Proportional to 4,405,814 and 6,739,113

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Solution

The third proportional to 4,405,814 and 6,739,113 is: 10,308,116.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,405,814 : 6,739,113 = 6,739,113 : x
  2. Step 2: Convert to fraction form
    4,405,814/6,739,113 = 6,739,113/x
  3. Step 3: Cross multiply
    4,405,814x = 6,739,113 × 6,739,113
  4. Step 4: Simplify right side
    4,405,814x = 45,415,644,026,769
  5. Step 5: Solve for x
    x = 45,415,644,026,769/4,405,814
  6. Step 6: Final answer
    x = 10,308,116.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.