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Finding the Third Proportional to 809,838 and 1,151,293.50

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Solution

The third proportional to 809,838 and 1,151,293.50 is: 1,636,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,838 : 1,151,293.50 = 1,151,293.50 : x
  2. Step 2: Convert to fraction form
    809,838/1,151,293.50 = 1,151,293.50/x
  3. Step 3: Cross multiply
    809,838x = 1,151,293.50 × 1,151,293.50
  4. Step 4: Simplify right side
    809,838x = 1,325,476,723,142.25
  5. Step 5: Solve for x
    x = 1,325,476,723,142.25/809,838
  6. Step 6: Final answer
    x = 1,636,718.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.