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Finding the Third Proportional to 1,272,562.52 and 1,633,937.06

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Solution

The third proportional to 1,272,562.52 and 1,633,937.06 is: 2,097,932.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272,562.52 : 1,633,937.06 = 1,633,937.06 : x
  2. Step 2: Convert to fraction form
    1,272,562.52/1,633,937.06 = 1,633,937.06/x
  3. Step 3: Cross multiply
    1,272,562.52x = 1,633,937.06 × 1,633,937.06
  4. Step 4: Simplify right side
    1,272,562.52x = 2,669,750,324,211.13
  5. Step 5: Solve for x
    x = 2,669,750,324,211.13/1,272,562.52
  6. Step 6: Final answer
    x = 2,097,932.54

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.