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Finding the Third Proportional to 538,980 and 1,173,582

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Solution

The third proportional to 538,980 and 1,173,582 is: 2,555,372.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,980 : 1,173,582 = 1,173,582 : x
  2. Step 2: Convert to fraction form
    538,980/1,173,582 = 1,173,582/x
  3. Step 3: Cross multiply
    538,980x = 1,173,582 × 1,173,582
  4. Step 4: Simplify right side
    538,980x = 1,377,294,710,724
  5. Step 5: Solve for x
    x = 1,377,294,710,724/538,980
  6. Step 6: Final answer
    x = 2,555,372.58

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