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Finding the Third Proportional to 914,134 and 1,985,516

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Solution

The third proportional to 914,134 and 1,985,516 is: 4,312,577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,134 : 1,985,516 = 1,985,516 : x
  2. Step 2: Convert to fraction form
    914,134/1,985,516 = 1,985,516/x
  3. Step 3: Cross multiply
    914,134x = 1,985,516 × 1,985,516
  4. Step 4: Simplify right side
    914,134x = 3,942,273,786,256
  5. Step 5: Solve for x
    x = 3,942,273,786,256/914,134
  6. Step 6: Final answer
    x = 4,312,577.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.