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Finding the Third Proportional to 538,560 and 1,135,440

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Solution

The third proportional to 538,560 and 1,135,440 is: 2,393,835.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,560 : 1,135,440 = 1,135,440 : x
  2. Step 2: Convert to fraction form
    538,560/1,135,440 = 1,135,440/x
  3. Step 3: Cross multiply
    538,560x = 1,135,440 × 1,135,440
  4. Step 4: Simplify right side
    538,560x = 1,289,223,993,600
  5. Step 5: Solve for x
    x = 1,289,223,993,600/538,560
  6. Step 6: Final answer
    x = 2,393,835.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.