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Finding the Third Proportional to 1,086,594.75 and 1,720,191.94

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Solution

The third proportional to 1,086,594.75 and 1,720,191.94 is: 2,723,241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,594.75 : 1,720,191.94 = 1,720,191.94 : x
  2. Step 2: Convert to fraction form
    1,086,594.75/1,720,191.94 = 1,720,191.94/x
  3. Step 3: Cross multiply
    1,086,594.75x = 1,720,191.94 × 1,720,191.94
  4. Step 4: Simplify right side
    1,086,594.75x = 2,959,060,301,840.00
  5. Step 5: Solve for x
    x = 2,959,060,301,840.00/1,086,594.75
  6. Step 6: Final answer
    x = 2,723,241.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.