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Finding the Third Proportional to 420,106 and 921,851

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Solution

The third proportional to 420,106 and 921,851 is: 2,022,844.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,106 : 921,851 = 921,851 : x
  2. Step 2: Convert to fraction form
    420,106/921,851 = 921,851/x
  3. Step 3: Cross multiply
    420,106x = 921,851 × 921,851
  4. Step 4: Simplify right side
    420,106x = 849,809,266,201
  5. Step 5: Solve for x
    x = 849,809,266,201/420,106
  6. Step 6: Final answer
    x = 2,022,844.87

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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.