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Finding the Third Proportional to 674,310 and 948,540

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Solution

The third proportional to 674,310 and 948,540 is: 1,334,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,310 : 948,540 = 948,540 : x
  2. Step 2: Convert to fraction form
    674,310/948,540 = 948,540/x
  3. Step 3: Cross multiply
    674,310x = 948,540 × 948,540
  4. Step 4: Simplify right side
    674,310x = 899,728,131,600
  5. Step 5: Solve for x
    x = 899,728,131,600/674,310
  6. Step 6: Final answer
    x = 1,334,294.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.