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Finding the Third Proportional to 3,042,843 and 4,738,746

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Solution

The third proportional to 3,042,843 and 4,738,746 is: 7,379,846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042,843 : 4,738,746 = 4,738,746 : x
  2. Step 2: Convert to fraction form
    3,042,843/4,738,746 = 4,738,746/x
  3. Step 3: Cross multiply
    3,042,843x = 4,738,746 × 4,738,746
  4. Step 4: Simplify right side
    3,042,843x = 22,455,713,652,516
  5. Step 5: Solve for x
    x = 22,455,713,652,516/3,042,843
  6. Step 6: Final answer
    x = 7,379,846.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.