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Finding the Third Proportional to 635,849 and 891,141

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Solution

The third proportional to 635,849 and 891,141 is: 1,248,932.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,849 : 891,141 = 891,141 : x
  2. Step 2: Convert to fraction form
    635,849/891,141 = 891,141/x
  3. Step 3: Cross multiply
    635,849x = 891,141 × 891,141
  4. Step 4: Simplify right side
    635,849x = 794,132,281,881
  5. Step 5: Solve for x
    x = 794,132,281,881/635,849
  6. Step 6: Final answer
    x = 1,248,932.19

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Why These Related Problems?

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