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Finding the Third Proportional to 1,197,720 and 2,561,392

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Solution

The third proportional to 1,197,720 and 2,561,392 is: 5,477,681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,720 : 2,561,392 = 2,561,392 : x
  2. Step 2: Convert to fraction form
    1,197,720/2,561,392 = 2,561,392/x
  3. Step 3: Cross multiply
    1,197,720x = 2,561,392 × 2,561,392
  4. Step 4: Simplify right side
    1,197,720x = 6,560,728,977,664
  5. Step 5: Solve for x
    x = 6,560,728,977,664/1,197,720
  6. Step 6: Final answer
    x = 5,477,681.74

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