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Finding the Third Proportional to 2,078,984 and 3,109,976

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Solution

The third proportional to 2,078,984 and 3,109,976 is: 4,652,248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078,984 : 3,109,976 = 3,109,976 : x
  2. Step 2: Convert to fraction form
    2,078,984/3,109,976 = 3,109,976/x
  3. Step 3: Cross multiply
    2,078,984x = 3,109,976 × 3,109,976
  4. Step 4: Simplify right side
    2,078,984x = 9,671,950,720,576
  5. Step 5: Solve for x
    x = 9,671,950,720,576/2,078,984
  6. Step 6: Final answer
    x = 4,652,248.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.