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Finding the Third Proportional to 1,898,136 and 4,084,321.50

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Solution

The third proportional to 1,898,136 and 4,084,321.50 is: 8,788,454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898,136 : 4,084,321.50 = 4,084,321.50 : x
  2. Step 2: Convert to fraction form
    1,898,136/4,084,321.50 = 4,084,321.50/x
  3. Step 3: Cross multiply
    1,898,136x = 4,084,321.50 × 4,084,321.50
  4. Step 4: Simplify right side
    1,898,136x = 16,681,682,115,362.25
  5. Step 5: Solve for x
    x = 16,681,682,115,362.25/1,898,136
  6. Step 6: Final answer
    x = 8,788,454.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.