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Finding the Third Proportional to 735,941 and 1,107,557

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Solution

The third proportional to 735,941 and 1,107,557 is: 1,666,821.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,941 : 1,107,557 = 1,107,557 : x
  2. Step 2: Convert to fraction form
    735,941/1,107,557 = 1,107,557/x
  3. Step 3: Cross multiply
    735,941x = 1,107,557 × 1,107,557
  4. Step 4: Simplify right side
    735,941x = 1,226,682,508,249
  5. Step 5: Solve for x
    x = 1,226,682,508,249/735,941
  6. Step 6: Final answer
    x = 1,666,821.81

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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.