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Finding the Third Proportional to 1,546,399 and 3,332,293

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Solution

The third proportional to 1,546,399 and 3,332,293 is: 7,180,667.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546,399 : 3,332,293 = 3,332,293 : x
  2. Step 2: Convert to fraction form
    1,546,399/3,332,293 = 3,332,293/x
  3. Step 3: Cross multiply
    1,546,399x = 3,332,293 × 3,332,293
  4. Step 4: Simplify right side
    1,546,399x = 11,104,176,637,849
  5. Step 5: Solve for x
    x = 11,104,176,637,849/1,546,399
  6. Step 6: Final answer
    x = 7,180,667.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.