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Finding the Third Proportional to 712,764.56 and 1,551,013.31

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Solution

The third proportional to 712,764.56 and 1,551,013.31 is: 3,375,086.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,764.56 : 1,551,013.31 = 1,551,013.31 : x
  2. Step 2: Convert to fraction form
    712,764.56/1,551,013.31 = 1,551,013.31/x
  3. Step 3: Cross multiply
    712,764.56x = 1,551,013.31 × 1,551,013.31
  4. Step 4: Simplify right side
    712,764.56x = 2,405,642,295,552.22
  5. Step 5: Solve for x
    x = 2,405,642,295,552.22/712,764.56
  6. Step 6: Final answer
    x = 3,375,086.84

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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.