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Finding the Third Proportional to 3,256,220 and 4,786,766

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Solution

The third proportional to 3,256,220 and 4,786,766 is: 7,036,726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256,220 : 4,786,766 = 4,786,766 : x
  2. Step 2: Convert to fraction form
    3,256,220/4,786,766 = 4,786,766/x
  3. Step 3: Cross multiply
    3,256,220x = 4,786,766 × 4,786,766
  4. Step 4: Simplify right side
    3,256,220x = 22,913,128,738,756
  5. Step 5: Solve for x
    x = 22,913,128,738,756/3,256,220
  6. Step 6: Final answer
    x = 7,036,726.25

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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.