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Finding the Third Proportional to 996,300 and 1,586,083.78

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Solution

The third proportional to 996,300 and 1,586,083.78 is: 2,525,004.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,300 : 1,586,083.78 = 1,586,083.78 : x
  2. Step 2: Convert to fraction form
    996,300/1,586,083.78 = 1,586,083.78/x
  3. Step 3: Cross multiply
    996,300x = 1,586,083.78 × 1,586,083.78
  4. Step 4: Simplify right side
    996,300x = 2,515,661,761,144.30
  5. Step 5: Solve for x
    x = 2,515,661,761,144.30/996,300
  6. Step 6: Final answer
    x = 2,525,004.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.