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Finding the Third Proportional to 857,580 and 1,810,302

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Solution

The third proportional to 857,580 and 1,810,302 is: 3,821,443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,580 : 1,810,302 = 1,810,302 : x
  2. Step 2: Convert to fraction form
    857,580/1,810,302 = 1,810,302/x
  3. Step 3: Cross multiply
    857,580x = 1,810,302 × 1,810,302
  4. Step 4: Simplify right side
    857,580x = 3,277,193,331,204
  5. Step 5: Solve for x
    x = 3,277,193,331,204/857,580
  6. Step 6: Final answer
    x = 3,821,443.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.