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Finding the Third Proportional to 913,361 and 1,961,392

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Solution

The third proportional to 913,361 and 1,961,392 is: 4,211,980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,361 : 1,961,392 = 1,961,392 : x
  2. Step 2: Convert to fraction form
    913,361/1,961,392 = 1,961,392/x
  3. Step 3: Cross multiply
    913,361x = 1,961,392 × 1,961,392
  4. Step 4: Simplify right side
    913,361x = 3,847,058,577,664
  5. Step 5: Solve for x
    x = 3,847,058,577,664/913,361
  6. Step 6: Final answer
    x = 4,211,980.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.