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Finding the Third Proportional to 2,947,698 and 6,445,278

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Solution

The third proportional to 2,947,698 and 6,445,278 is: 14,092,898.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947,698 : 6,445,278 = 6,445,278 : x
  2. Step 2: Convert to fraction form
    2,947,698/6,445,278 = 6,445,278/x
  3. Step 3: Cross multiply
    2,947,698x = 6,445,278 × 6,445,278
  4. Step 4: Simplify right side
    2,947,698x = 41,541,608,497,284
  5. Step 5: Solve for x
    x = 41,541,608,497,284/2,947,698
  6. Step 6: Final answer
    x = 14,092,898.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.