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Finding the Third Proportional to 2,157,741 and 4,652,010

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Solution

The third proportional to 2,157,741 and 4,652,010 is: 10,029,561.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157,741 : 4,652,010 = 4,652,010 : x
  2. Step 2: Convert to fraction form
    2,157,741/4,652,010 = 4,652,010/x
  3. Step 3: Cross multiply
    2,157,741x = 4,652,010 × 4,652,010
  4. Step 4: Simplify right side
    2,157,741x = 21,641,197,040,100
  5. Step 5: Solve for x
    x = 21,641,197,040,100/2,157,741
  6. Step 6: Final answer
    x = 10,029,561.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.