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Finding the Third Proportional to 603,966 and 1,316,451

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Solution

The third proportional to 603,966 and 1,316,451 is: 2,869,438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,966 : 1,316,451 = 1,316,451 : x
  2. Step 2: Convert to fraction form
    603,966/1,316,451 = 1,316,451/x
  3. Step 3: Cross multiply
    603,966x = 1,316,451 × 1,316,451
  4. Step 4: Simplify right side
    603,966x = 1,733,043,235,401
  5. Step 5: Solve for x
    x = 1,733,043,235,401/603,966
  6. Step 6: Final answer
    x = 2,869,438.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.