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Finding the Third Proportional to 811,234 and 1,168,407

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Solution

The third proportional to 811,234 and 1,168,407 is: 1,682,837.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,234 : 1,168,407 = 1,168,407 : x
  2. Step 2: Convert to fraction form
    811,234/1,168,407 = 1,168,407/x
  3. Step 3: Cross multiply
    811,234x = 1,168,407 × 1,168,407
  4. Step 4: Simplify right side
    811,234x = 1,365,174,917,649
  5. Step 5: Solve for x
    x = 1,365,174,917,649/811,234
  6. Step 6: Final answer
    x = 1,682,837.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.