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Finding the Third Proportional to 421,894 and 923,922

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Solution

The third proportional to 421,894 and 923,922 is: 2,023,332.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,894 : 923,922 = 923,922 : x
  2. Step 2: Convert to fraction form
    421,894/923,922 = 923,922/x
  3. Step 3: Cross multiply
    421,894x = 923,922 × 923,922
  4. Step 4: Simplify right side
    421,894x = 853,631,862,084
  5. Step 5: Solve for x
    x = 853,631,862,084/421,894
  6. Step 6: Final answer
    x = 2,023,332.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.