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Finding the Third Proportional to 3,188,689.88 and 4,842,083.81

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Solution

The third proportional to 3,188,689.88 and 4,842,083.81 is: 7,352,792.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,689.88 : 4,842,083.81 = 4,842,083.81 : x
  2. Step 2: Convert to fraction form
    3,188,689.88/4,842,083.81 = 4,842,083.81/x
  3. Step 3: Cross multiply
    3,188,689.88x = 4,842,083.81 × 4,842,083.81
  4. Step 4: Simplify right side
    3,188,689.88x = 23,445,775,647,274.54
  5. Step 5: Solve for x
    x = 23,445,775,647,274.54/3,188,689.88
  6. Step 6: Final answer
    x = 7,352,792.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.