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Finding the Third Proportional to 691,933.88 and 1,497,591.38

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Solution

The third proportional to 691,933.88 and 1,497,591.38 is: 3,241,321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,933.88 : 1,497,591.38 = 1,497,591.38 : x
  2. Step 2: Convert to fraction form
    691,933.88/1,497,591.38 = 1,497,591.38/x
  3. Step 3: Cross multiply
    691,933.88x = 1,497,591.38 × 1,497,591.38
  4. Step 4: Simplify right side
    691,933.88x = 2,242,779,926,474.39
  5. Step 5: Solve for x
    x = 2,242,779,926,474.39/691,933.88
  6. Step 6: Final answer
    x = 3,241,321.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.