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Finding the Third Proportional to 545,824 and 1,174,592

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Solution

The third proportional to 545,824 and 1,174,592 is: 2,527,676.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,824 : 1,174,592 = 1,174,592 : x
  2. Step 2: Convert to fraction form
    545,824/1,174,592 = 1,174,592/x
  3. Step 3: Cross multiply
    545,824x = 1,174,592 × 1,174,592
  4. Step 4: Simplify right side
    545,824x = 1,379,666,366,464
  5. Step 5: Solve for x
    x = 1,379,666,366,464/545,824
  6. Step 6: Final answer
    x = 2,527,676.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.