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Finding the Third Proportional to 4,793,160 and 6,741,879.75

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Solution

The third proportional to 4,793,160 and 6,741,879.75 is: 9,482,876.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,793,160 : 6,741,879.75 = 6,741,879.75 : x
  2. Step 2: Convert to fraction form
    4,793,160/6,741,879.75 = 6,741,879.75/x
  3. Step 3: Cross multiply
    4,793,160x = 6,741,879.75 × 6,741,879.75
  4. Step 4: Simplify right side
    4,793,160x = 45,452,942,563,460.06
  5. Step 5: Solve for x
    x = 45,452,942,563,460.06/4,793,160
  6. Step 6: Final answer
    x = 9,482,876.13

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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.