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Finding the Third Proportional to 797,712 and 1,193,856

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Solution

The third proportional to 797,712 and 1,193,856 is: 1,786,725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,712 : 1,193,856 = 1,193,856 : x
  2. Step 2: Convert to fraction form
    797,712/1,193,856 = 1,193,856/x
  3. Step 3: Cross multiply
    797,712x = 1,193,856 × 1,193,856
  4. Step 4: Simplify right side
    797,712x = 1,425,292,148,736
  5. Step 5: Solve for x
    x = 1,425,292,148,736/797,712
  6. Step 6: Final answer
    x = 1,786,725.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.