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Finding the Third Proportional to 545,625 and 1,185,696

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Solution

The third proportional to 545,625 and 1,185,696 is: 2,576,632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,625 : 1,185,696 = 1,185,696 : x
  2. Step 2: Convert to fraction form
    545,625/1,185,696 = 1,185,696/x
  3. Step 3: Cross multiply
    545,625x = 1,185,696 × 1,185,696
  4. Step 4: Simplify right side
    545,625x = 1,405,875,004,416
  5. Step 5: Solve for x
    x = 1,405,875,004,416/545,625
  6. Step 6: Final answer
    x = 2,576,632.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.