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Finding the Third Proportional to 541,490 and 1,188,004

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Solution

The third proportional to 541,490 and 1,188,004 is: 2,606,425.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,490 : 1,188,004 = 1,188,004 : x
  2. Step 2: Convert to fraction form
    541,490/1,188,004 = 1,188,004/x
  3. Step 3: Cross multiply
    541,490x = 1,188,004 × 1,188,004
  4. Step 4: Simplify right side
    541,490x = 1,411,353,504,016
  5. Step 5: Solve for x
    x = 1,411,353,504,016/541,490
  6. Step 6: Final answer
    x = 2,606,425.80

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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.