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Finding the Third Proportional to 4,793,175 and 6,741,913.50

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Solution

The third proportional to 4,793,175 and 6,741,913.50 is: 9,482,941.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,793,175 : 6,741,913.50 = 6,741,913.50 : x
  2. Step 2: Convert to fraction form
    4,793,175/6,741,913.50 = 6,741,913.50/x
  3. Step 3: Cross multiply
    4,793,175x = 6,741,913.50 × 6,741,913.50
  4. Step 4: Simplify right side
    4,793,175x = 45,453,397,641,482.25
  5. Step 5: Solve for x
    x = 45,453,397,641,482.25/4,793,175
  6. Step 6: Final answer
    x = 9,482,941.40

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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.