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Finding the Third Proportional to 1,763,257.50 and 3,601,243.13

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Solution

The third proportional to 1,763,257.50 and 3,601,243.13 is: 7,355,109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763,257.50 : 3,601,243.13 = 3,601,243.13 : x
  2. Step 2: Convert to fraction form
    1,763,257.50/3,601,243.13 = 3,601,243.13/x
  3. Step 3: Cross multiply
    1,763,257.50x = 3,601,243.13 × 3,601,243.13
  4. Step 4: Simplify right side
    1,763,257.50x = 12,968,952,045,359.77
  5. Step 5: Solve for x
    x = 12,968,952,045,359.77/1,763,257.50
  6. Step 6: Final answer
    x = 7,355,109.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.