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Finding the Third Proportional to 654,389 and 1,384,228

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Solution

The third proportional to 654,389 and 1,384,228 is: 2,928,055.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,389 : 1,384,228 = 1,384,228 : x
  2. Step 2: Convert to fraction form
    654,389/1,384,228 = 1,384,228/x
  3. Step 3: Cross multiply
    654,389x = 1,384,228 × 1,384,228
  4. Step 4: Simplify right side
    654,389x = 1,916,087,155,984
  5. Step 5: Solve for x
    x = 1,916,087,155,984/654,389
  6. Step 6: Final answer
    x = 2,928,055.26

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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.