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Finding the Third Proportional to 574,836 and 1,209,204

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Solution

The third proportional to 574,836 and 1,209,204 is: 2,543,637.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,836 : 1,209,204 = 1,209,204 : x
  2. Step 2: Convert to fraction form
    574,836/1,209,204 = 1,209,204/x
  3. Step 3: Cross multiply
    574,836x = 1,209,204 × 1,209,204
  4. Step 4: Simplify right side
    574,836x = 1,462,174,313,616
  5. Step 5: Solve for x
    x = 1,462,174,313,616/574,836
  6. Step 6: Final answer
    x = 2,543,637.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.