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Finding the Third Proportional to 2,085,282 and 4,871,841

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Solution

The third proportional to 2,085,282 and 4,871,841 is: 11,382,074.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085,282 : 4,871,841 = 4,871,841 : x
  2. Step 2: Convert to fraction form
    2,085,282/4,871,841 = 4,871,841/x
  3. Step 3: Cross multiply
    2,085,282x = 4,871,841 × 4,871,841
  4. Step 4: Simplify right side
    2,085,282x = 23,734,834,729,281
  5. Step 5: Solve for x
    x = 23,734,834,729,281/2,085,282
  6. Step 6: Final answer
    x = 11,382,074.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.