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Finding the Third Proportional to 675,504 and 1,054,152

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Solution

The third proportional to 675,504 and 1,054,152 is: 1,645,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,504 : 1,054,152 = 1,054,152 : x
  2. Step 2: Convert to fraction form
    675,504/1,054,152 = 1,054,152/x
  3. Step 3: Cross multiply
    675,504x = 1,054,152 × 1,054,152
  4. Step 4: Simplify right side
    675,504x = 1,111,236,439,104
  5. Step 5: Solve for x
    x = 1,111,236,439,104/675,504
  6. Step 6: Final answer
    x = 1,645,047.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.