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Finding the Third Proportional to 791,716 and 1,194,342

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Solution

The third proportional to 791,716 and 1,194,342 is: 1,801,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,716 : 1,194,342 = 1,194,342 : x
  2. Step 2: Convert to fraction form
    791,716/1,194,342 = 1,194,342/x
  3. Step 3: Cross multiply
    791,716x = 1,194,342 × 1,194,342
  4. Step 4: Simplify right side
    791,716x = 1,426,452,812,964
  5. Step 5: Solve for x
    x = 1,426,452,812,964/791,716
  6. Step 6: Final answer
    x = 1,801,722.86

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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.