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Finding the Third Proportional to 816,212 and 1,763,576

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Solution

The third proportional to 816,212 and 1,763,576 is: 3,810,529.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,212 : 1,763,576 = 1,763,576 : x
  2. Step 2: Convert to fraction form
    816,212/1,763,576 = 1,763,576/x
  3. Step 3: Cross multiply
    816,212x = 1,763,576 × 1,763,576
  4. Step 4: Simplify right side
    816,212x = 3,110,200,307,776
  5. Step 5: Solve for x
    x = 3,110,200,307,776/816,212
  6. Step 6: Final answer
    x = 3,810,529.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.