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Finding the Third Proportional to 2,160,702 and 4,641,660

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Solution

The third proportional to 2,160,702 and 4,641,660 is: 9,971,299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160,702 : 4,641,660 = 4,641,660 : x
  2. Step 2: Convert to fraction form
    2,160,702/4,641,660 = 4,641,660/x
  3. Step 3: Cross multiply
    2,160,702x = 4,641,660 × 4,641,660
  4. Step 4: Simplify right side
    2,160,702x = 21,545,007,555,600
  5. Step 5: Solve for x
    x = 21,545,007,555,600/2,160,702
  6. Step 6: Final answer
    x = 9,971,299.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.