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Finding the Third Proportional to 1,029,909.94 and 1,498,115.25

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Solution

The third proportional to 1,029,909.94 and 1,498,115.25 is: 2,179,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,909.94 : 1,498,115.25 = 1,498,115.25 : x
  2. Step 2: Convert to fraction form
    1,029,909.94/1,498,115.25 = 1,498,115.25/x
  3. Step 3: Cross multiply
    1,029,909.94x = 1,498,115.25 × 1,498,115.25
  4. Step 4: Simplify right side
    1,029,909.94x = 2,244,349,302,282.56
  5. Step 5: Solve for x
    x = 2,244,349,302,282.56/1,029,909.94
  6. Step 6: Final answer
    x = 2,179,170.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.