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Finding the Third Proportional to 4,097,979 and 6,014,108.25

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Solution

The third proportional to 4,097,979 and 6,014,108.25 is: 8,826,179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097,979 : 6,014,108.25 = 6,014,108.25 : x
  2. Step 2: Convert to fraction form
    4,097,979/6,014,108.25 = 6,014,108.25/x
  3. Step 3: Cross multiply
    4,097,979x = 6,014,108.25 × 6,014,108.25
  4. Step 4: Simplify right side
    4,097,979x = 36,169,498,042,718.06
  5. Step 5: Solve for x
    x = 36,169,498,042,718.06/4,097,979
  6. Step 6: Final answer
    x = 8,826,179.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.