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Finding the Third Proportional to 545,880 and 1,174,704

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Solution

The third proportional to 545,880 and 1,174,704 is: 2,527,898.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,880 : 1,174,704 = 1,174,704 : x
  2. Step 2: Convert to fraction form
    545,880/1,174,704 = 1,174,704/x
  3. Step 3: Cross multiply
    545,880x = 1,174,704 × 1,174,704
  4. Step 4: Simplify right side
    545,880x = 1,379,929,487,616
  5. Step 5: Solve for x
    x = 1,379,929,487,616/545,880
  6. Step 6: Final answer
    x = 2,527,898.97

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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.