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Finding the Third Proportional to 654,388 and 1,384,226

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Solution

The third proportional to 654,388 and 1,384,226 is: 2,928,051.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,388 : 1,384,226 = 1,384,226 : x
  2. Step 2: Convert to fraction form
    654,388/1,384,226 = 1,384,226/x
  3. Step 3: Cross multiply
    654,388x = 1,384,226 × 1,384,226
  4. Step 4: Simplify right side
    654,388x = 1,916,081,619,076
  5. Step 5: Solve for x
    x = 1,916,081,619,076/654,388
  6. Step 6: Final answer
    x = 2,928,051.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.