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Finding the Third Proportional to 369,921 and 806,871

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Solution

The third proportional to 369,921 and 806,871 is: 1,759,945.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,921 : 806,871 = 806,871 : x
  2. Step 2: Convert to fraction form
    369,921/806,871 = 806,871/x
  3. Step 3: Cross multiply
    369,921x = 806,871 × 806,871
  4. Step 4: Simplify right side
    369,921x = 651,040,810,641
  5. Step 5: Solve for x
    x = 651,040,810,641/369,921
  6. Step 6: Final answer
    x = 1,759,945.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.