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Finding the Third Proportional to 725,810.63 and 1,638,917.30

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Solution

The third proportional to 725,810.63 and 1,638,917.30 is: 3,700,758.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,810.63 : 1,638,917.30 = 1,638,917.30 : x
  2. Step 2: Convert to fraction form
    725,810.63/1,638,917.30 = 1,638,917.30/x
  3. Step 3: Cross multiply
    725,810.63x = 1,638,917.30 × 1,638,917.30
  4. Step 4: Simplify right side
    725,810.63x = 2,686,049,905,996.06
  5. Step 5: Solve for x
    x = 2,686,049,905,996.06/725,810.63
  6. Step 6: Final answer
    x = 3,700,758.59

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.