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Finding the Third Proportional to 389,066 and 916,025

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Solution

The third proportional to 389,066 and 916,025 is: 2,156,708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,066 : 916,025 = 916,025 : x
  2. Step 2: Convert to fraction form
    389,066/916,025 = 916,025/x
  3. Step 3: Cross multiply
    389,066x = 916,025 × 916,025
  4. Step 4: Simplify right side
    389,066x = 839,101,800,625
  5. Step 5: Solve for x
    x = 839,101,800,625/389,066
  6. Step 6: Final answer
    x = 2,156,708.12

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.