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Finding the Third Proportional to 3,073,107 and 4,509,999

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Solution

The third proportional to 3,073,107 and 4,509,999 is: 6,618,738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073,107 : 4,509,999 = 4,509,999 : x
  2. Step 2: Convert to fraction form
    3,073,107/4,509,999 = 4,509,999/x
  3. Step 3: Cross multiply
    3,073,107x = 4,509,999 × 4,509,999
  4. Step 4: Simplify right side
    3,073,107x = 20,340,090,980,001
  5. Step 5: Solve for x
    x = 20,340,090,980,001/3,073,107
  6. Step 6: Final answer
    x = 6,618,738.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.