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Finding the Third Proportional to 509,548 and 1,102,104

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Solution

The third proportional to 509,548 and 1,102,104 is: 2,383,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,548 : 1,102,104 = 1,102,104 : x
  2. Step 2: Convert to fraction form
    509,548/1,102,104 = 1,102,104/x
  3. Step 3: Cross multiply
    509,548x = 1,102,104 × 1,102,104
  4. Step 4: Simplify right side
    509,548x = 1,214,633,226,816
  5. Step 5: Solve for x
    x = 1,214,633,226,816/509,548
  6. Step 6: Final answer
    x = 2,383,746.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.