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Finding the Third Proportional to 635,802 and 891,135

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Solution

The third proportional to 635,802 and 891,135 is: 1,249,007.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,802 : 891,135 = 891,135 : x
  2. Step 2: Convert to fraction form
    635,802/891,135 = 891,135/x
  3. Step 3: Cross multiply
    635,802x = 891,135 × 891,135
  4. Step 4: Simplify right side
    635,802x = 794,121,588,225
  5. Step 5: Solve for x
    x = 794,121,588,225/635,802
  6. Step 6: Final answer
    x = 1,249,007.69

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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.