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Finding the Third Proportional to 654,387 and 1,384,224

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Solution

The third proportional to 654,387 and 1,384,224 is: 2,928,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,387 : 1,384,224 = 1,384,224 : x
  2. Step 2: Convert to fraction form
    654,387/1,384,224 = 1,384,224/x
  3. Step 3: Cross multiply
    654,387x = 1,384,224 × 1,384,224
  4. Step 4: Simplify right side
    654,387x = 1,916,076,082,176
  5. Step 5: Solve for x
    x = 1,916,076,082,176/654,387
  6. Step 6: Final answer
    x = 2,928,047.29

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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.