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Finding the Third Proportional to 635,807 and 891,214

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Solution

The third proportional to 635,807 and 891,214 is: 1,249,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,807 : 891,214 = 891,214 : x
  2. Step 2: Convert to fraction form
    635,807/891,214 = 891,214/x
  3. Step 3: Cross multiply
    635,807x = 891,214 × 891,214
  4. Step 4: Simplify right side
    635,807x = 794,262,393,796
  5. Step 5: Solve for x
    x = 794,262,393,796/635,807
  6. Step 6: Final answer
    x = 1,249,219.33

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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.