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Finding the Third Proportional to 691,314 and 1,066,451

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Solution

The third proportional to 691,314 and 1,066,451 is: 1,645,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,314 : 1,066,451 = 1,066,451 : x
  2. Step 2: Convert to fraction form
    691,314/1,066,451 = 1,066,451/x
  3. Step 3: Cross multiply
    691,314x = 1,066,451 × 1,066,451
  4. Step 4: Simplify right side
    691,314x = 1,137,317,735,401
  5. Step 5: Solve for x
    x = 1,137,317,735,401/691,314
  6. Step 6: Final answer
    x = 1,645,153.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.