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Finding the Third Proportional to 691,331 and 1,437,844

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Solution

The third proportional to 691,331 and 1,437,844 is: 2,990,456.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,331 : 1,437,844 = 1,437,844 : x
  2. Step 2: Convert to fraction form
    691,331/1,437,844 = 1,437,844/x
  3. Step 3: Cross multiply
    691,331x = 1,437,844 × 1,437,844
  4. Step 4: Simplify right side
    691,331x = 2,067,395,368,336
  5. Step 5: Solve for x
    x = 2,067,395,368,336/691,331
  6. Step 6: Final answer
    x = 2,990,456.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.