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Finding the Third Proportional to 1,197,712 and 2,561,376

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Solution

The third proportional to 1,197,712 and 2,561,376 is: 5,477,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,712 : 2,561,376 = 2,561,376 : x
  2. Step 2: Convert to fraction form
    1,197,712/2,561,376 = 2,561,376/x
  3. Step 3: Cross multiply
    1,197,712x = 2,561,376 × 2,561,376
  4. Step 4: Simplify right side
    1,197,712x = 6,560,647,013,376
  5. Step 5: Solve for x
    x = 6,560,647,013,376/1,197,712
  6. Step 6: Final answer
    x = 5,477,649.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.