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Finding the Third Proportional to 678,426 and 921,375

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Solution

The third proportional to 678,426 and 921,375 is: 1,251,325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,426 : 921,375 = 921,375 : x
  2. Step 2: Convert to fraction form
    678,426/921,375 = 921,375/x
  3. Step 3: Cross multiply
    678,426x = 921,375 × 921,375
  4. Step 4: Simplify right side
    678,426x = 848,931,890,625
  5. Step 5: Solve for x
    x = 848,931,890,625/678,426
  6. Step 6: Final answer
    x = 1,251,325.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.