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Finding the Third Proportional to 635,814 and 891,092.25

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Solution

The third proportional to 635,814 and 891,092.25 is: 1,248,864.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,814 : 891,092.25 = 891,092.25 : x
  2. Step 2: Convert to fraction form
    635,814/891,092.25 = 891,092.25/x
  3. Step 3: Cross multiply
    635,814x = 891,092.25 × 891,092.25
  4. Step 4: Simplify right side
    635,814x = 794,045,398,010.06
  5. Step 5: Solve for x
    x = 794,045,398,010.06/635,814
  6. Step 6: Final answer
    x = 1,248,864.29

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.