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Finding the Third Proportional to 570,764.81 and 1,229,829.75

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Solution

The third proportional to 570,764.81 and 1,229,829.75 is: 2,649,920.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,764.81 : 1,229,829.75 = 1,229,829.75 : x
  2. Step 2: Convert to fraction form
    570,764.81/1,229,829.75 = 1,229,829.75/x
  3. Step 3: Cross multiply
    570,764.81x = 1,229,829.75 × 1,229,829.75
  4. Step 4: Simplify right side
    570,764.81x = 1,512,481,213,985.06
  5. Step 5: Solve for x
    x = 1,512,481,213,985.06/570,764.81
  6. Step 6: Final answer
    x = 2,649,920.21

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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.