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Finding the Third Proportional to 756,910 and 1,138,524

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Solution

The third proportional to 756,910 and 1,138,524 is: 1,712,537.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,910 : 1,138,524 = 1,138,524 : x
  2. Step 2: Convert to fraction form
    756,910/1,138,524 = 1,138,524/x
  3. Step 3: Cross multiply
    756,910x = 1,138,524 × 1,138,524
  4. Step 4: Simplify right side
    756,910x = 1,296,236,898,576
  5. Step 5: Solve for x
    x = 1,296,236,898,576/756,910
  6. Step 6: Final answer
    x = 1,712,537.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.