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Finding the Third Proportional to 2,317,210 and 4,846,284

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Solution

The third proportional to 2,317,210 and 4,846,284 is: 10,135,666.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317,210 : 4,846,284 = 4,846,284 : x
  2. Step 2: Convert to fraction form
    2,317,210/4,846,284 = 4,846,284/x
  3. Step 3: Cross multiply
    2,317,210x = 4,846,284 × 4,846,284
  4. Step 4: Simplify right side
    2,317,210x = 23,486,468,608,656
  5. Step 5: Solve for x
    x = 23,486,468,608,656/2,317,210
  6. Step 6: Final answer
    x = 10,135,666.86

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.