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Finding the Third Proportional to 650,549 and 1,409,698

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Solution

The third proportional to 650,549 and 1,409,698 is: 3,054,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,549 : 1,409,698 = 1,409,698 : x
  2. Step 2: Convert to fraction form
    650,549/1,409,698 = 1,409,698/x
  3. Step 3: Cross multiply
    650,549x = 1,409,698 × 1,409,698
  4. Step 4: Simplify right side
    650,549x = 1,987,248,451,204
  5. Step 5: Solve for x
    x = 1,987,248,451,204/650,549
  6. Step 6: Final answer
    x = 3,054,725.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.