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Finding the Third Proportional to 464,045 and 982,999

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Solution

The third proportional to 464,045 and 982,999 is: 2,082,313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,045 : 982,999 = 982,999 : x
  2. Step 2: Convert to fraction form
    464,045/982,999 = 982,999/x
  3. Step 3: Cross multiply
    464,045x = 982,999 × 982,999
  4. Step 4: Simplify right side
    464,045x = 966,287,034,001
  5. Step 5: Solve for x
    x = 966,287,034,001/464,045
  6. Step 6: Final answer
    x = 2,082,313.21

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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.