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Finding the Third Proportional to 4,109,468.50 and 6,544,741

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Solution

The third proportional to 4,109,468.50 and 6,544,741 is: 10,423,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109,468.50 : 6,544,741 = 6,544,741 : x
  2. Step 2: Convert to fraction form
    4,109,468.50/6,544,741 = 6,544,741/x
  3. Step 3: Cross multiply
    4,109,468.50x = 6,544,741 × 6,544,741
  4. Step 4: Simplify right side
    4,109,468.50x = 42,833,634,757,081
  5. Step 5: Solve for x
    x = 42,833,634,757,081/4,109,468.50
  6. Step 6: Final answer
    x = 10,423,156.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.