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Finding the Third Proportional to 538,648 and 1,166,440

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Solution

The third proportional to 538,648 and 1,166,440 is: 2,525,920.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,648 : 1,166,440 = 1,166,440 : x
  2. Step 2: Convert to fraction form
    538,648/1,166,440 = 1,166,440/x
  3. Step 3: Cross multiply
    538,648x = 1,166,440 × 1,166,440
  4. Step 4: Simplify right side
    538,648x = 1,360,582,273,600
  5. Step 5: Solve for x
    x = 1,360,582,273,600/538,648
  6. Step 6: Final answer
    x = 2,525,920.96

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