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Finding the Third Proportional to 949,246 and 2,078,796

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Solution

The third proportional to 949,246 and 2,078,796 is: 4,552,447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,246 : 2,078,796 = 2,078,796 : x
  2. Step 2: Convert to fraction form
    949,246/2,078,796 = 2,078,796/x
  3. Step 3: Cross multiply
    949,246x = 2,078,796 × 2,078,796
  4. Step 4: Simplify right side
    949,246x = 4,321,392,809,616
  5. Step 5: Solve for x
    x = 4,321,392,809,616/949,246
  6. Step 6: Final answer
    x = 4,552,447.74

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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.