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Finding the Third Proportional to 2,100,449 and 4,277,943

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Solution

The third proportional to 2,100,449 and 4,277,943 is: 8,712,802.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100,449 : 4,277,943 = 4,277,943 : x
  2. Step 2: Convert to fraction form
    2,100,449/4,277,943 = 4,277,943/x
  3. Step 3: Cross multiply
    2,100,449x = 4,277,943 × 4,277,943
  4. Step 4: Simplify right side
    2,100,449x = 18,300,796,311,249
  5. Step 5: Solve for x
    x = 18,300,796,311,249/2,100,449
  6. Step 6: Final answer
    x = 8,712,802.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.