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Finding the Third Proportional to 2,046,630 and 4,342,620

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Solution

The third proportional to 2,046,630 and 4,342,620 is: 9,214,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046,630 : 4,342,620 = 4,342,620 : x
  2. Step 2: Convert to fraction form
    2,046,630/4,342,620 = 4,342,620/x
  3. Step 3: Cross multiply
    2,046,630x = 4,342,620 × 4,342,620
  4. Step 4: Simplify right side
    2,046,630x = 18,858,348,464,400
  5. Step 5: Solve for x
    x = 18,858,348,464,400/2,046,630
  6. Step 6: Final answer
    x = 9,214,341.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.