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Finding the Third Proportional to 814,972.50 and 1,770,066

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Solution

The third proportional to 814,972.50 and 1,770,066 is: 3,844,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,972.50 : 1,770,066 = 1,770,066 : x
  2. Step 2: Convert to fraction form
    814,972.50/1,770,066 = 1,770,066/x
  3. Step 3: Cross multiply
    814,972.50x = 1,770,066 × 1,770,066
  4. Step 4: Simplify right side
    814,972.50x = 3,133,133,644,356
  5. Step 5: Solve for x
    x = 3,133,133,644,356/814,972.50
  6. Step 6: Final answer
    x = 3,844,465.48

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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.