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Finding the Third Proportional to 749,744 and 1,199,124

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Solution

The third proportional to 749,744 and 1,199,124 is: 1,917,852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,744 : 1,199,124 = 1,199,124 : x
  2. Step 2: Convert to fraction form
    749,744/1,199,124 = 1,199,124/x
  3. Step 3: Cross multiply
    749,744x = 1,199,124 × 1,199,124
  4. Step 4: Simplify right side
    749,744x = 1,437,898,367,376
  5. Step 5: Solve for x
    x = 1,437,898,367,376/749,744
  6. Step 6: Final answer
    x = 1,917,852.45

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.