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Finding the Third Proportional to 538,586 and 1,166,320

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Solution

The third proportional to 538,586 and 1,166,320 is: 2,525,691.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,586 : 1,166,320 = 1,166,320 : x
  2. Step 2: Convert to fraction form
    538,586/1,166,320 = 1,166,320/x
  3. Step 3: Cross multiply
    538,586x = 1,166,320 × 1,166,320
  4. Step 4: Simplify right side
    538,586x = 1,360,302,342,400
  5. Step 5: Solve for x
    x = 1,360,302,342,400/538,586
  6. Step 6: Final answer
    x = 2,525,691.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.