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Finding the Third Proportional to 444,664 and 973,656

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Solution

The third proportional to 444,664 and 973,656 is: 2,131,960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,664 : 973,656 = 973,656 : x
  2. Step 2: Convert to fraction form
    444,664/973,656 = 973,656/x
  3. Step 3: Cross multiply
    444,664x = 973,656 × 973,656
  4. Step 4: Simplify right side
    444,664x = 948,006,006,336
  5. Step 5: Solve for x
    x = 948,006,006,336/444,664
  6. Step 6: Final answer
    x = 2,131,960.33

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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.