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Finding the Third Proportional to 791,712 and 1,194,336

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Solution

The third proportional to 791,712 and 1,194,336 is: 1,801,713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,712 : 1,194,336 = 1,194,336 : x
  2. Step 2: Convert to fraction form
    791,712/1,194,336 = 1,194,336/x
  3. Step 3: Cross multiply
    791,712x = 1,194,336 × 1,194,336
  4. Step 4: Simplify right side
    791,712x = 1,426,438,480,896
  5. Step 5: Solve for x
    x = 1,426,438,480,896/791,712
  6. Step 6: Final answer
    x = 1,801,713.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.