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Finding the Third Proportional to 4,568,284 and 6,427,458

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Solution

The third proportional to 4,568,284 and 6,427,458 is: 9,043,267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568,284 : 6,427,458 = 6,427,458 : x
  2. Step 2: Convert to fraction form
    4,568,284/6,427,458 = 6,427,458/x
  3. Step 3: Cross multiply
    4,568,284x = 6,427,458 × 6,427,458
  4. Step 4: Simplify right side
    4,568,284x = 41,312,216,341,764
  5. Step 5: Solve for x
    x = 41,312,216,341,764/4,568,284
  6. Step 6: Final answer
    x = 9,043,267.96

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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.