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Finding the Third Proportional to 378,784 and 841,647

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Solution

The third proportional to 378,784 and 841,647 is: 1,870,115.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,784 : 841,647 = 841,647 : x
  2. Step 2: Convert to fraction form
    378,784/841,647 = 841,647/x
  3. Step 3: Cross multiply
    378,784x = 841,647 × 841,647
  4. Step 4: Simplify right side
    378,784x = 708,369,672,609
  5. Step 5: Solve for x
    x = 708,369,672,609/378,784
  6. Step 6: Final answer
    x = 1,870,115.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.