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Finding the Third Proportional to 996,365 and 1,586,182

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Solution

The third proportional to 996,365 and 1,586,182 is: 2,525,152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,365 : 1,586,182 = 1,586,182 : x
  2. Step 2: Convert to fraction form
    996,365/1,586,182 = 1,586,182/x
  3. Step 3: Cross multiply
    996,365x = 1,586,182 × 1,586,182
  4. Step 4: Simplify right side
    996,365x = 2,515,973,337,124
  5. Step 5: Solve for x
    x = 2,515,973,337,124/996,365
  6. Step 6: Final answer
    x = 2,525,152.27

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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.