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Finding the Third Proportional to 1,949,240.25 and 2,999,979

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Solution

The third proportional to 1,949,240.25 and 2,999,979 is: 4,617,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949,240.25 : 2,999,979 = 2,999,979 : x
  2. Step 2: Convert to fraction form
    1,949,240.25/2,999,979 = 2,999,979/x
  3. Step 3: Cross multiply
    1,949,240.25x = 2,999,979 × 2,999,979
  4. Step 4: Simplify right side
    1,949,240.25x = 8,999,874,000,441
  5. Step 5: Solve for x
    x = 8,999,874,000,441/1,949,240.25
  6. Step 6: Final answer
    x = 4,617,118.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.