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Finding the Third Proportional to 738,242 and 1,138,844

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Solution

The third proportional to 738,242 and 1,138,844 is: 1,756,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,242 : 1,138,844 = 1,138,844 : x
  2. Step 2: Convert to fraction form
    738,242/1,138,844 = 1,138,844/x
  3. Step 3: Cross multiply
    738,242x = 1,138,844 × 1,138,844
  4. Step 4: Simplify right side
    738,242x = 1,296,965,656,336
  5. Step 5: Solve for x
    x = 1,296,965,656,336/738,242
  6. Step 6: Final answer
    x = 1,756,829.95

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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.