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Finding the Third Proportional to 384,382 and 918,044

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Solution

The third proportional to 384,382 and 918,044 is: 2,192,622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,382 : 918,044 = 918,044 : x
  2. Step 2: Convert to fraction form
    384,382/918,044 = 918,044/x
  3. Step 3: Cross multiply
    384,382x = 918,044 × 918,044
  4. Step 4: Simplify right side
    384,382x = 842,804,785,936
  5. Step 5: Solve for x
    x = 842,804,785,936/384,382
  6. Step 6: Final answer
    x = 2,192,622.93

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.