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Finding the Third Proportional to 738,132 and 1,138,734

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Solution

The third proportional to 738,132 and 1,138,734 is: 1,756,752.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,132 : 1,138,734 = 1,138,734 : x
  2. Step 2: Convert to fraction form
    738,132/1,138,734 = 1,138,734/x
  3. Step 3: Cross multiply
    738,132x = 1,138,734 × 1,138,734
  4. Step 4: Simplify right side
    738,132x = 1,296,715,122,756
  5. Step 5: Solve for x
    x = 1,296,715,122,756/738,132
  6. Step 6: Final answer
    x = 1,756,752.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.