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Finding the Third Proportional to 449,464 and 973,772

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Solution

The third proportional to 449,464 and 973,772 is: 2,109,694.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,464 : 973,772 = 973,772 : x
  2. Step 2: Convert to fraction form
    449,464/973,772 = 973,772/x
  3. Step 3: Cross multiply
    449,464x = 973,772 × 973,772
  4. Step 4: Simplify right side
    449,464x = 948,231,907,984
  5. Step 5: Solve for x
    x = 948,231,907,984/449,464
  6. Step 6: Final answer
    x = 2,109,694.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.