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Finding the Third Proportional to 2,877,825 and 4,157,616

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Solution

The third proportional to 2,877,825 and 4,157,616 is: 6,006,539.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877,825 : 4,157,616 = 4,157,616 : x
  2. Step 2: Convert to fraction form
    2,877,825/4,157,616 = 4,157,616/x
  3. Step 3: Cross multiply
    2,877,825x = 4,157,616 × 4,157,616
  4. Step 4: Simplify right side
    2,877,825x = 17,285,770,803,456
  5. Step 5: Solve for x
    x = 17,285,770,803,456/2,877,825
  6. Step 6: Final answer
    x = 6,006,539.94

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.