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Finding the Third Proportional to 832,118 and 1,790,641

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Solution

The third proportional to 832,118 and 1,790,641 is: 3,853,293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,118 : 1,790,641 = 1,790,641 : x
  2. Step 2: Convert to fraction form
    832,118/1,790,641 = 1,790,641/x
  3. Step 3: Cross multiply
    832,118x = 1,790,641 × 1,790,641
  4. Step 4: Simplify right side
    832,118x = 3,206,395,190,881
  5. Step 5: Solve for x
    x = 3,206,395,190,881/832,118
  6. Step 6: Final answer
    x = 3,853,293.87

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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.