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Finding the Third Proportional to 604,713 and 914,892

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Solution

The third proportional to 604,713 and 914,892 is: 1,384,172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,713 : 914,892 = 914,892 : x
  2. Step 2: Convert to fraction form
    604,713/914,892 = 914,892/x
  3. Step 3: Cross multiply
    604,713x = 914,892 × 914,892
  4. Step 4: Simplify right side
    604,713x = 837,027,371,664
  5. Step 5: Solve for x
    x = 837,027,371,664/604,713
  6. Step 6: Final answer
    x = 1,384,172.94

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Why These Related Problems?

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