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Finding the Third Proportional to 1,638,348.75 and 2,457,524.25

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Solution

The third proportional to 1,638,348.75 and 2,457,524.25 is: 3,686,288.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,348.75 : 2,457,524.25 = 2,457,524.25 : x
  2. Step 2: Convert to fraction form
    1,638,348.75/2,457,524.25 = 2,457,524.25/x
  3. Step 3: Cross multiply
    1,638,348.75x = 2,457,524.25 × 2,457,524.25
  4. Step 4: Simplify right side
    1,638,348.75x = 6,039,425,439,338.06
  5. Step 5: Solve for x
    x = 6,039,425,439,338.06/1,638,348.75
  6. Step 6: Final answer
    x = 3,686,288.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.