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Finding the Third Proportional to 2,171,302 and 4,640,778

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Solution

The third proportional to 2,171,302 and 4,640,778 is: 9,918,850.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,302 : 4,640,778 = 4,640,778 : x
  2. Step 2: Convert to fraction form
    2,171,302/4,640,778 = 4,640,778/x
  3. Step 3: Cross multiply
    2,171,302x = 4,640,778 × 4,640,778
  4. Step 4: Simplify right side
    2,171,302x = 21,536,820,445,284
  5. Step 5: Solve for x
    x = 21,536,820,445,284/2,171,302
  6. Step 6: Final answer
    x = 9,918,850.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.