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Finding the Third Proportional to 420,006 and 921,666

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Solution

The third proportional to 420,006 and 921,666 is: 2,022,514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,006 : 921,666 = 921,666 : x
  2. Step 2: Convert to fraction form
    420,006/921,666 = 921,666/x
  3. Step 3: Cross multiply
    420,006x = 921,666 × 921,666
  4. Step 4: Simplify right side
    420,006x = 849,468,215,556
  5. Step 5: Solve for x
    x = 849,468,215,556/420,006
  6. Step 6: Final answer
    x = 2,022,514.48

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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.