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Finding the Third Proportional to 791,744 and 1,223,184

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Solution

The third proportional to 791,744 and 1,223,184 is: 1,889,725.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,744 : 1,223,184 = 1,223,184 : x
  2. Step 2: Convert to fraction form
    791,744/1,223,184 = 1,223,184/x
  3. Step 3: Cross multiply
    791,744x = 1,223,184 × 1,223,184
  4. Step 4: Simplify right side
    791,744x = 1,496,179,097,856
  5. Step 5: Solve for x
    x = 1,496,179,097,856/791,744
  6. Step 6: Final answer
    x = 1,889,725.84

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.