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Finding the Third Proportional to 2,998,240.31 and 4,385,345.06

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Solution

The third proportional to 2,998,240.31 and 4,385,345.06 is: 6,414,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998,240.31 : 4,385,345.06 = 4,385,345.06 : x
  2. Step 2: Convert to fraction form
    2,998,240.31/4,385,345.06 = 4,385,345.06/x
  3. Step 3: Cross multiply
    2,998,240.31x = 4,385,345.06 × 4,385,345.06
  4. Step 4: Simplify right side
    2,998,240.31x = 19,231,251,317,193.13
  5. Step 5: Solve for x
    x = 19,231,251,317,193.13/2,998,240.31
  6. Step 6: Final answer
    x = 6,414,179.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.