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Finding the Third Proportional to 851,779 and 1,728,588

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Solution

The third proportional to 851,779 and 1,728,588 is: 3,507,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,779 : 1,728,588 = 1,728,588 : x
  2. Step 2: Convert to fraction form
    851,779/1,728,588 = 1,728,588/x
  3. Step 3: Cross multiply
    851,779x = 1,728,588 × 1,728,588
  4. Step 4: Simplify right side
    851,779x = 2,988,016,473,744
  5. Step 5: Solve for x
    x = 2,988,016,473,744/851,779
  6. Step 6: Final answer
    x = 3,507,971.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.