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Finding the Third Proportional to 1,271,340 and 2,785,464

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Solution

The third proportional to 1,271,340 and 2,785,464 is: 6,102,859.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,340 : 2,785,464 = 2,785,464 : x
  2. Step 2: Convert to fraction form
    1,271,340/2,785,464 = 2,785,464/x
  3. Step 3: Cross multiply
    1,271,340x = 2,785,464 × 2,785,464
  4. Step 4: Simplify right side
    1,271,340x = 7,758,809,695,296
  5. Step 5: Solve for x
    x = 7,758,809,695,296/1,271,340
  6. Step 6: Final answer
    x = 6,102,859.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.