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Finding the Third Proportional to 420,446 and 919,138

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Solution

The third proportional to 420,446 and 919,138 is: 2,009,329.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,446 : 919,138 = 919,138 : x
  2. Step 2: Convert to fraction form
    420,446/919,138 = 919,138/x
  3. Step 3: Cross multiply
    420,446x = 919,138 × 919,138
  4. Step 4: Simplify right side
    420,446x = 844,814,663,044
  5. Step 5: Solve for x
    x = 844,814,663,044/420,446
  6. Step 6: Final answer
    x = 2,009,329.77

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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.