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Finding the Third Proportional to 2,397,900 and 5,017,488

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Solution

The third proportional to 2,397,900 and 5,017,488 is: 10,498,847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397,900 : 5,017,488 = 5,017,488 : x
  2. Step 2: Convert to fraction form
    2,397,900/5,017,488 = 5,017,488/x
  3. Step 3: Cross multiply
    2,397,900x = 5,017,488 × 5,017,488
  4. Step 4: Simplify right side
    2,397,900x = 25,175,185,830,144
  5. Step 5: Solve for x
    x = 25,175,185,830,144/2,397,900
  6. Step 6: Final answer
    x = 10,498,847.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.