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Finding the Third Proportional to 4,189,746.94 and 6,406,408.97

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Solution

The third proportional to 4,189,746.94 and 6,406,408.97 is: 9,795,836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189,746.94 : 6,406,408.97 = 6,406,408.97 : x
  2. Step 2: Convert to fraction form
    4,189,746.94/6,406,408.97 = 6,406,408.97/x
  3. Step 3: Cross multiply
    4,189,746.94x = 6,406,408.97 × 6,406,408.97
  4. Step 4: Simplify right side
    4,189,746.94x = 41,042,075,874,880.44
  5. Step 5: Solve for x
    x = 41,042,075,874,880.44/4,189,746.94
  6. Step 6: Final answer
    x = 9,795,836.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.