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Finding the Third Proportional to 2,952,450 and 6,456,348

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Solution

The third proportional to 2,952,450 and 6,456,348 is: 14,118,589.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952,450 : 6,456,348 = 6,456,348 : x
  2. Step 2: Convert to fraction form
    2,952,450/6,456,348 = 6,456,348/x
  3. Step 3: Cross multiply
    2,952,450x = 6,456,348 × 6,456,348
  4. Step 4: Simplify right side
    2,952,450x = 41,684,429,497,104
  5. Step 5: Solve for x
    x = 41,684,429,497,104/2,952,450
  6. Step 6: Final answer
    x = 14,118,589.48

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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.