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Finding the Third Proportional to 2,078,417 and 4,856,121

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Solution

The third proportional to 2,078,417 and 4,856,121 is: 11,346,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078,417 : 4,856,121 = 4,856,121 : x
  2. Step 2: Convert to fraction form
    2,078,417/4,856,121 = 4,856,121/x
  3. Step 3: Cross multiply
    2,078,417x = 4,856,121 × 4,856,121
  4. Step 4: Simplify right side
    2,078,417x = 23,581,911,166,641
  5. Step 5: Solve for x
    x = 23,581,911,166,641/2,078,417
  6. Step 6: Final answer
    x = 11,346,092.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.