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Finding the Third Proportional to 545,826 and 1,174,596

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Solution

The third proportional to 545,826 and 1,174,596 is: 2,527,684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,826 : 1,174,596 = 1,174,596 : x
  2. Step 2: Convert to fraction form
    545,826/1,174,596 = 1,174,596/x
  3. Step 3: Cross multiply
    545,826x = 1,174,596 × 1,174,596
  4. Step 4: Simplify right side
    545,826x = 1,379,675,763,216
  5. Step 5: Solve for x
    x = 1,379,675,763,216/545,826
  6. Step 6: Final answer
    x = 2,527,684.21

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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.