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Finding the Third Proportional to 4,405,785 and 6,735,310

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Solution

The third proportional to 4,405,785 and 6,735,310 is: 10,296,553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,405,785 : 6,735,310 = 6,735,310 : x
  2. Step 2: Convert to fraction form
    4,405,785/6,735,310 = 6,735,310/x
  3. Step 3: Cross multiply
    4,405,785x = 6,735,310 × 6,735,310
  4. Step 4: Simplify right side
    4,405,785x = 45,364,400,796,100
  5. Step 5: Solve for x
    x = 45,364,400,796,100/4,405,785
  6. Step 6: Final answer
    x = 10,296,553.46

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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.