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Finding the Third Proportional to 825,567.75 and 1,773,204.75

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Solution

The third proportional to 825,567.75 and 1,773,204.75 is: 3,808,597.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,567.75 : 1,773,204.75 = 1,773,204.75 : x
  2. Step 2: Convert to fraction form
    825,567.75/1,773,204.75 = 1,773,204.75/x
  3. Step 3: Cross multiply
    825,567.75x = 1,773,204.75 × 1,773,204.75
  4. Step 4: Simplify right side
    825,567.75x = 3,144,255,085,422.56
  5. Step 5: Solve for x
    x = 3,144,255,085,422.56/825,567.75
  6. Step 6: Final answer
    x = 3,808,597.28

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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.