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Finding the Third Proportional to 585,192 and 1,277,616

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Solution

The third proportional to 585,192 and 1,277,616 is: 2,789,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,192 : 1,277,616 = 1,277,616 : x
  2. Step 2: Convert to fraction form
    585,192/1,277,616 = 1,277,616/x
  3. Step 3: Cross multiply
    585,192x = 1,277,616 × 1,277,616
  4. Step 4: Simplify right side
    585,192x = 1,632,302,643,456
  5. Step 5: Solve for x
    x = 1,632,302,643,456/585,192
  6. Step 6: Final answer
    x = 2,789,345.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.