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Finding the Third Proportional to 749,742 and 1,199,121

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Solution

The third proportional to 749,742 and 1,199,121 is: 1,917,847.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,742 : 1,199,121 = 1,199,121 : x
  2. Step 2: Convert to fraction form
    749,742/1,199,121 = 1,199,121/x
  3. Step 3: Cross multiply
    749,742x = 1,199,121 × 1,199,121
  4. Step 4: Simplify right side
    749,742x = 1,437,891,172,641
  5. Step 5: Solve for x
    x = 1,437,891,172,641/749,742
  6. Step 6: Final answer
    x = 1,917,847.97

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Why These Related Problems?

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