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Finding the Third Proportional to 793,791 and 1,192,473

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Solution

The third proportional to 793,791 and 1,192,473 is: 1,791,393.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,791 : 1,192,473 = 1,192,473 : x
  2. Step 2: Convert to fraction form
    793,791/1,192,473 = 1,192,473/x
  3. Step 3: Cross multiply
    793,791x = 1,192,473 × 1,192,473
  4. Step 4: Simplify right side
    793,791x = 1,421,991,855,729
  5. Step 5: Solve for x
    x = 1,421,991,855,729/793,791
  6. Step 6: Final answer
    x = 1,791,393.27

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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.