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Finding the Third Proportional to 420,006 and 907,404

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Solution

The third proportional to 420,006 and 907,404 is: 1,960,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,006 : 907,404 = 907,404 : x
  2. Step 2: Convert to fraction form
    420,006/907,404 = 907,404/x
  3. Step 3: Cross multiply
    420,006x = 907,404 × 907,404
  4. Step 4: Simplify right side
    420,006x = 823,382,019,216
  5. Step 5: Solve for x
    x = 823,382,019,216/420,006
  6. Step 6: Final answer
    x = 1,960,405.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.