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Finding the Third Proportional to 832,072.50 and 1,188,999

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Solution

The third proportional to 832,072.50 and 1,188,999 is: 1,699,032.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,072.50 : 1,188,999 = 1,188,999 : x
  2. Step 2: Convert to fraction form
    832,072.50/1,188,999 = 1,188,999/x
  3. Step 3: Cross multiply
    832,072.50x = 1,188,999 × 1,188,999
  4. Step 4: Simplify right side
    832,072.50x = 1,413,718,622,001
  5. Step 5: Solve for x
    x = 1,413,718,622,001/832,072.50
  6. Step 6: Final answer
    x = 1,699,032.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.