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Finding the Third Proportional to 3,257,089.31 and 4,790,802.38

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Solution

The third proportional to 3,257,089.31 and 4,790,802.38 is: 7,046,717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257,089.31 : 4,790,802.38 = 4,790,802.38 : x
  2. Step 2: Convert to fraction form
    3,257,089.31/4,790,802.38 = 4,790,802.38/x
  3. Step 3: Cross multiply
    3,257,089.31x = 4,790,802.38 × 4,790,802.38
  4. Step 4: Simplify right side
    3,257,089.31x = 22,951,787,396,305.64
  5. Step 5: Solve for x
    x = 22,951,787,396,305.64/3,257,089.31
  6. Step 6: Final answer
    x = 7,046,717.24

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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.