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Finding the Third Proportional to 1,683,102 and 2,367,405

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Solution

The third proportional to 1,683,102 and 2,367,405 is: 3,329,926.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,102 : 2,367,405 = 2,367,405 : x
  2. Step 2: Convert to fraction form
    1,683,102/2,367,405 = 2,367,405/x
  3. Step 3: Cross multiply
    1,683,102x = 2,367,405 × 2,367,405
  4. Step 4: Simplify right side
    1,683,102x = 5,604,606,434,025
  5. Step 5: Solve for x
    x = 5,604,606,434,025/1,683,102
  6. Step 6: Final answer
    x = 3,329,926.79

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.