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Finding the Third Proportional to 550,504 and 1,209,265

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Solution

The third proportional to 550,504 and 1,209,265 is: 2,656,332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,504 : 1,209,265 = 1,209,265 : x
  2. Step 2: Convert to fraction form
    550,504/1,209,265 = 1,209,265/x
  3. Step 3: Cross multiply
    550,504x = 1,209,265 × 1,209,265
  4. Step 4: Simplify right side
    550,504x = 1,462,321,840,225
  5. Step 5: Solve for x
    x = 1,462,321,840,225/550,504
  6. Step 6: Final answer
    x = 2,656,332.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.