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Finding the Third Proportional to 1,027,069.88 and 1,571,769.56

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Solution

The third proportional to 1,027,069.88 and 1,571,769.56 is: 2,405,347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,069.88 : 1,571,769.56 = 1,571,769.56 : x
  2. Step 2: Convert to fraction form
    1,027,069.88/1,571,769.56 = 1,571,769.56/x
  3. Step 3: Cross multiply
    1,027,069.88x = 1,571,769.56 × 1,571,769.56
  4. Step 4: Simplify right side
    1,027,069.88x = 2,470,459,557,601.44
  5. Step 5: Solve for x
    x = 2,470,459,557,601.44/1,027,069.88
  6. Step 6: Final answer
    x = 2,405,347.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.