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Finding the Third Proportional to 464,044 and 982,997

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Solution

The third proportional to 464,044 and 982,997 is: 2,082,309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,044 : 982,997 = 982,997 : x
  2. Step 2: Convert to fraction form
    464,044/982,997 = 982,997/x
  3. Step 3: Cross multiply
    464,044x = 982,997 × 982,997
  4. Step 4: Simplify right side
    464,044x = 966,283,102,009
  5. Step 5: Solve for x
    x = 966,283,102,009/464,044
  6. Step 6: Final answer
    x = 2,082,309.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.