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Finding the Third Proportional to 809,856 and 1,287,120

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Solution

The third proportional to 809,856 and 1,287,120 is: 2,045,645.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,856 : 1,287,120 = 1,287,120 : x
  2. Step 2: Convert to fraction form
    809,856/1,287,120 = 1,287,120/x
  3. Step 3: Cross multiply
    809,856x = 1,287,120 × 1,287,120
  4. Step 4: Simplify right side
    809,856x = 1,656,677,894,400
  5. Step 5: Solve for x
    x = 1,656,677,894,400/809,856
  6. Step 6: Final answer
    x = 2,045,645.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.