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Finding the Third Proportional to 4,568,310 and 6,427,494

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Solution

The third proportional to 4,568,310 and 6,427,494 is: 9,043,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568,310 : 6,427,494 = 6,427,494 : x
  2. Step 2: Convert to fraction form
    4,568,310/6,427,494 = 6,427,494/x
  3. Step 3: Cross multiply
    4,568,310x = 6,427,494 × 6,427,494
  4. Step 4: Simplify right side
    4,568,310x = 41,312,679,120,036
  5. Step 5: Solve for x
    x = 41,312,679,120,036/4,568,310
  6. Step 6: Final answer
    x = 9,043,317.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.