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Finding the Third Proportional to 1,197,342 and 1,808,451

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Solution

The third proportional to 1,197,342 and 1,808,451 is: 2,731,462.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,342 : 1,808,451 = 1,808,451 : x
  2. Step 2: Convert to fraction form
    1,197,342/1,808,451 = 1,808,451/x
  3. Step 3: Cross multiply
    1,197,342x = 1,808,451 × 1,808,451
  4. Step 4: Simplify right side
    1,197,342x = 3,270,495,019,401
  5. Step 5: Solve for x
    x = 3,270,495,019,401/1,197,342
  6. Step 6: Final answer
    x = 2,731,462.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.