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Finding the Third Proportional to 570,777 and 1,229,855.25

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Solution

The third proportional to 570,777 and 1,229,855.25 is: 2,649,973.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,777 : 1,229,855.25 = 1,229,855.25 : x
  2. Step 2: Convert to fraction form
    570,777/1,229,855.25 = 1,229,855.25/x
  3. Step 3: Cross multiply
    570,777x = 1,229,855.25 × 1,229,855.25
  4. Step 4: Simplify right side
    570,777x = 1,512,543,935,952.56
  5. Step 5: Solve for x
    x = 1,512,543,935,952.56/570,777
  6. Step 6: Final answer
    x = 2,649,973.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.