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Finding the Third Proportional to 4,459,606 and 6,731,205

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Solution

The third proportional to 4,459,606 and 6,731,205 is: 10,159,893.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459,606 : 6,731,205 = 6,731,205 : x
  2. Step 2: Convert to fraction form
    4,459,606/6,731,205 = 6,731,205/x
  3. Step 3: Cross multiply
    4,459,606x = 6,731,205 × 6,731,205
  4. Step 4: Simplify right side
    4,459,606x = 45,309,120,752,025
  5. Step 5: Solve for x
    x = 45,309,120,752,025/4,459,606
  6. Step 6: Final answer
    x = 10,159,893.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.