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Finding the Third Proportional to 3,134,979.07 and 4,734,043.42

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Solution

The third proportional to 3,134,979.07 and 4,734,043.42 is: 7,148,745.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134,979.07 : 4,734,043.42 = 4,734,043.42 : x
  2. Step 2: Convert to fraction form
    3,134,979.07/4,734,043.42 = 4,734,043.42/x
  3. Step 3: Cross multiply
    3,134,979.07x = 4,734,043.42 × 4,734,043.42
  4. Step 4: Simplify right side
    3,134,979.07x = 22,411,167,083,213.72
  5. Step 5: Solve for x
    x = 22,411,167,083,213.72/3,134,979.07
  6. Step 6: Final answer
    x = 7,148,745.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.