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Finding the Third Proportional to 1,131,584 and 2,465,152

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Solution

The third proportional to 1,131,584 and 2,465,152 is: 5,370,325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131,584 : 2,465,152 = 2,465,152 : x
  2. Step 2: Convert to fraction form
    1,131,584/2,465,152 = 2,465,152/x
  3. Step 3: Cross multiply
    1,131,584x = 2,465,152 × 2,465,152
  4. Step 4: Simplify right side
    1,131,584x = 6,076,974,383,104
  5. Step 5: Solve for x
    x = 6,076,974,383,104/1,131,584
  6. Step 6: Final answer
    x = 5,370,325.48

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Why These Related Problems?

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