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Finding the Third Proportional to 857,493 and 1,828,899

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Solution

The third proportional to 857,493 and 1,828,899 is: 3,900,756.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,493 : 1,828,899 = 1,828,899 : x
  2. Step 2: Convert to fraction form
    857,493/1,828,899 = 1,828,899/x
  3. Step 3: Cross multiply
    857,493x = 1,828,899 × 1,828,899
  4. Step 4: Simplify right side
    857,493x = 3,344,871,552,201
  5. Step 5: Solve for x
    x = 3,344,871,552,201/857,493
  6. Step 6: Final answer
    x = 3,900,756.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.