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Finding the Third Proportional to 691,292 and 1,437,762

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Solution

The third proportional to 691,292 and 1,437,762 is: 2,990,284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,292 : 1,437,762 = 1,437,762 : x
  2. Step 2: Convert to fraction form
    691,292/1,437,762 = 1,437,762/x
  3. Step 3: Cross multiply
    691,292x = 1,437,762 × 1,437,762
  4. Step 4: Simplify right side
    691,292x = 2,067,159,568,644
  5. Step 5: Solve for x
    x = 2,067,159,568,644/691,292
  6. Step 6: Final answer
    x = 2,990,284.23

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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.