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Finding the Third Proportional to 2,116,795 and 4,573,122

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Solution

The third proportional to 2,116,795 and 4,573,122 is: 9,879,768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116,795 : 4,573,122 = 4,573,122 : x
  2. Step 2: Convert to fraction form
    2,116,795/4,573,122 = 4,573,122/x
  3. Step 3: Cross multiply
    2,116,795x = 4,573,122 × 4,573,122
  4. Step 4: Simplify right side
    2,116,795x = 20,913,444,826,884
  5. Step 5: Solve for x
    x = 20,913,444,826,884/2,116,795
  6. Step 6: Final answer
    x = 9,879,768.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.