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Finding the Third Proportional to 2,085,968 and 4,396,117

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Solution

The third proportional to 2,085,968 and 4,396,117 is: 9,264,688.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085,968 : 4,396,117 = 4,396,117 : x
  2. Step 2: Convert to fraction form
    2,085,968/4,396,117 = 4,396,117/x
  3. Step 3: Cross multiply
    2,085,968x = 4,396,117 × 4,396,117
  4. Step 4: Simplify right side
    2,085,968x = 19,325,844,677,689
  5. Step 5: Solve for x
    x = 19,325,844,677,689/2,085,968
  6. Step 6: Final answer
    x = 9,264,688.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.