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Finding the Third Proportional to 586,548 and 1,285,204

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Solution

The third proportional to 586,548 and 1,285,204 is: 2,816,051.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,548 : 1,285,204 = 1,285,204 : x
  2. Step 2: Convert to fraction form
    586,548/1,285,204 = 1,285,204/x
  3. Step 3: Cross multiply
    586,548x = 1,285,204 × 1,285,204
  4. Step 4: Simplify right side
    586,548x = 1,651,749,321,616
  5. Step 5: Solve for x
    x = 1,651,749,321,616/586,548
  6. Step 6: Final answer
    x = 2,816,051.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.