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Finding the Third Proportional to 1,783,452 and 3,857,784

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Solution

The third proportional to 1,783,452 and 3,857,784 is: 8,344,770.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783,452 : 3,857,784 = 3,857,784 : x
  2. Step 2: Convert to fraction form
    1,783,452/3,857,784 = 3,857,784/x
  3. Step 3: Cross multiply
    1,783,452x = 3,857,784 × 3,857,784
  4. Step 4: Simplify right side
    1,783,452x = 14,882,497,390,656
  5. Step 5: Solve for x
    x = 14,882,497,390,656/1,783,452
  6. Step 6: Final answer
    x = 8,344,770.36

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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.