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Finding the Third Proportional to 420,946 and 923,381

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Solution

The third proportional to 420,946 and 923,381 is: 2,025,515.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,946 : 923,381 = 923,381 : x
  2. Step 2: Convert to fraction form
    420,946/923,381 = 923,381/x
  3. Step 3: Cross multiply
    420,946x = 923,381 × 923,381
  4. Step 4: Simplify right side
    420,946x = 852,632,471,161
  5. Step 5: Solve for x
    x = 852,632,471,161/420,946
  6. Step 6: Final answer
    x = 2,025,515.08

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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.