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Finding the Third Proportional to 456,443 and 973,949

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Solution

The third proportional to 456,443 and 973,949 is: 2,078,193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,443 : 973,949 = 973,949 : x
  2. Step 2: Convert to fraction form
    456,443/973,949 = 973,949/x
  3. Step 3: Cross multiply
    456,443x = 973,949 × 973,949
  4. Step 4: Simplify right side
    456,443x = 948,576,654,601
  5. Step 5: Solve for x
    x = 948,576,654,601/456,443
  6. Step 6: Final answer
    x = 2,078,193.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.