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Finding the Third Proportional to 635,130 and 982,999

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Solution

The third proportional to 635,130 and 982,999 is: 1,521,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,130 : 982,999 = 982,999 : x
  2. Step 2: Convert to fraction form
    635,130/982,999 = 982,999/x
  3. Step 3: Cross multiply
    635,130x = 982,999 × 982,999
  4. Step 4: Simplify right side
    635,130x = 966,287,034,001
  5. Step 5: Solve for x
    x = 966,287,034,001/635,130
  6. Step 6: Final answer
    x = 1,521,400.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.